One in every five jobs in the U.S. required a high level of knowledge in science, technology, engineering or math as of 2011. Since the industrial revolution, the share of these kinds of jobs in the U.S. workforce has roughly doubled.

The Brookings Institution recently released “The Hidden STEM Economy,” a report that reviews the concentration of jobs that require knowledge in science, technology, engineering or math (STEM) by metropolitan area. These jobs are often found in health care, computers and manufacturing. From 24/7 Wall St., based on a review of the proportion of workers in STEM jobs in the 100 largest metropolitan areas, these are the U.S. metro areas with the most high-tech jobs:

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10. Dayton, Ohio

Percent of jobs in STEM fields: 22.9%

Avg. 2011 STEM wage: $66,705 (49th highest)

Avg. 2011 non-STEM wage: $35,554 (34th lowest)

Annual patents per 1,000 workers 2007-2011: 0.47 (43rd lowest)

Percent adults with at least bachelor’s degree: 24.7% (16th lowest)

Dayton had 80,710 STEM jobs as of 2011, comprising nearly 23% of all jobs in the metropolitan area. More than 10% of the jobs in the Dayton area were considered super-STEM jobs, the 12th highest of the 100 largest metro areas in the country. The most common STEM field was health diagnosing and treating practitioners, which comprised 15,400 positions. The largest private employer in the Dayton Area, as of March 2013, was Premier Health Partners, a large hospital system primarily serving Southwestern Ohio.

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9. Detroit-Warren-Livonia, Mich.

Percent of jobs in STEM fields: 22.9%

Avg. 2011 STEM wage: $67,659 (43rd highest)

Avg. 2011 non-STEM wage: $39,190 (28th highest)

Annual patents per 1,000 workers 2007-2011: 1.52 (17th highest)

Percent adults with at least bachelor’s degree: 27.8% (35th lowest)

Nearly 11% of the jobs in the Detroit metropolitan area were super-STEM jobs, higher than all but six other metropolitan areas. Detroit, in part due to its auto industry, has a high concentration of high-skill manufacturing positions that account for many of its STEM jobs. More than 209,000 jobs in Detroit, or almost 13% of all positions in the metro area, required engineering knowledge as of 2011. STEM workers with at least a bachelor’s degree earned more than $80,000 on average in 2011, compared with $67,541 for non-STEM workers with similar educational achievement.

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8. Baltimore-Towson, Md.

Percent of jobs in STEM fields: 23.1%

Avg. 2011 STEM wage: $75,133 (12th highest)

Avg. 2011 non-STEM wage: $43,075 (12th highest)

Annual patents per 1,000 workers 2007-2011: 0.53 (46th lowest)

Percent adults with at least bachelor’s degree: 35.8% (13th highest)

More than half of the 281,730 STEM jobs located in the Baltimore area in 2011 required extensive engineering knowledge. In addition, more than 130,000 jobs required high scientific knowledge. The Baltimore area is home to Johns Hopkins University, which received nearly $1.9 billion in federal research and development money in 2011, more than any other university in the country that year. Much of that money went toward the Applied Physics Laboratory, which employs thousands of engineers and scientists. The average STEM job in Baltimore paid more than $75,000 in 2011, compared with just over $43,000 for non-STEM workers.

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7. San Francisco-Oakland-Fremont, Calif.

Percent of jobs in STEM fields: 23.9%

Avg. 2011 STEM wage: $92,889 (2nd highest)

Avg. 2011 non-STEM wage: $50,383 (4th highest)

Annual patents per 1,000 workers 2007-2011: 3.59 (3rd highest)

Percent adults with at least bachelor’s degree: 43.9% (4th highest)

San Francisco is home to several prominent companies in the health care technology and computer software industries, such as McKesson Corp. MCK, -0.81% and Oracle Corp. ORCL, -0.41% . Roughly 63,000 of the 434,000 STEM jobs in the area were health diagnosing and treating practitioners, while 87,500 jobs were in computer occupations. A number of patents originate in the area due to the high presence of technology jobs. Between 2007 and 2011, an average of nearly 3.6 patents were filed annually per 1,000 workers, higher than all but two other metropolitan areas.

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6. Boston-Cambridge-Quincy, Mass.

Percent of jobs in STEM fields: 23.9%

Avg. 2011 STEM wage: $84,031 (5th highest)

Avg. 2011 non-STEM wage: $47,861 (5th highest)

Annual patents per 1,000 workers 2007-2011: 1.62 (16th highest)

Percent adults with at least bachelor’s degree: 43.1% (5th highest)

Of the more than 554,000 jobs that require STEM knowledge, more than 100,000 were health diagnosing and treating practitioners. Many prestigious research institutions are located in the Boston area, including Harvard, at left, and the Massachusetts Institute of Technology. In addition to the thousands of jobs at Boston’s higher education institutions, many universities, including Harvard, Tufts and Boston University, have hospitals associated with them.

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5. Madison, Wis.

Percent of jobs in STEM fields: 24.0%

Avg. 2011 STEM wage: $67,359 (44th highest)

Avg. 2011 non-STEM wage: $38,913 (30th highest)

Annual patents per 1,000 workers 2007-2011: 1.33 (22nd highest)

Percent adults with at least bachelor’s degree: 42.5% (6th highest)

Madison is home to the flagship campus of the University of Wisconsin, one of the largest research institutions in the U.S. Associated with it is the University of Wisconsin Hospitals and Clinics, which employs approximately 10,000 individuals. The largest private employer in the Madison area is Epic Systems, a health-care software company, which employs about 6,200 people locally. Overall, nine of the 100 largest employers in the Madison area are biotechnology companies. The average wage of a Madison STEM worker in 2011 was $67,359, while the average wage of a non-STEM worker was just $38,913.

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4. Seattle-Tacoma-Bellevue, Wash.

Percent of jobs in STEM fields: 25.9%

Avg. 2011 STEM wage: $79,489 (7th highest)

Avg. 2011 non-STEM wage: $45,071 (8th highest)

Annual patents per 1,000 workers 2007-2011: 2.26 (8th highest)

Percent adults with at least bachelor’s degree: 37.1% (11th highest)

Almost half of the STEM jobs, or approximately 12.6% of all the jobs in the Seattle area, were super-STEM jobs in 2011, higher than all large areas except for San Jose and Palm Bay. More than 141,000 jobs in the area required computer expertise, while more than 242,000 needed engineering skills, both among the highest numbers in the country. Technology giants Microsoft Corp. MSFT, -1.04% and Amazon.com Inc. AMZN, -2.25% are both located in the Seattle metropolitan area. But the largest employer is Boeing Co. BA, +0.04% , which manufactures its airplanes primarily in the Seattle area. The company employed more than 76,000 people as of 2011.

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3. Palm Bay-Melbourne-Titusville, Fla.

Percent of jobs in STEM fields: 26.7%

Avg. 2011 STEM wage: $69,881 (32nd highest)

Avg. 2011 non-STEM wage: $33,809 (13th lowest)

Annual patents per 1,000 workers 2007-2011: 1.07 (24th highest)

Percent adults with at least bachelor’s degree: 26.4% (25th lowest)

Palm Bay is home to the Kennedy Space Center and, according to Brookings, 11% of Americans working in aerospace engineering live there. More than 55% of STEM-related jobs, or nearly 15% of all jobs in the area, were considered to be super-STEM jobs, a very large share compared with most metropolitan areas. Many of these, explained Brooking’s Jonathan Rothwell, were research positions associated with the Space Center. However, by some standard economic statistics, Palm Bay has not experienced the same benefits from its STEM jobs as other cities where such work is abundant. As of 2011, the area’s 11.1%

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2. Washington-Arlington-Alexandria, Va.

Percent of jobs in STEM fields: 27.1%

Avg. 2011 STEM wage: $89,714 (3rd highest)

Avg. 2011 non-STEM wage: $52,601 (2nd highest)

Annual Patents per 1,000 workers 2007-2011: 0.48 (44th lowest)

Percent adults with at least bachelor’s degree: 48.0% (the highest)

Although the Washington, D.C. area had the second-highest percentage of all jobs requiring a high level of STEM knowledge, not all of these are research-intensive, bachelors-level jobs. In fact, 14.6% of all jobs in the D.C. area were STEM jobs requiring lower levels of specialization, a higher percentage than all other large metropolitan areas. Many of the people occupying these positions worked in the countless government agencies in the area. The Washington area is also home to many jobs relating to the defense industry. Defense company Lockheed Martin Corp. LMT, +0.09% , the largest federal government contractor, is located in Bethesda, Md., which is part of the metro area. Other major contractors in the capital region include Northrop Grumman Corp. NOC, +0.10% and Booz Allen Hamilton Holding Corp. BAH, +0.04% .

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1. San Jose-Sunnyvale-Santa Clara, Calif.

Percent of jobs in STEM fields: 33.2%

Avg. 2011 STEM wage: $104,110 (the highest)

Avg. 2011 non-STEM wage: $52,739 (the highest)

Annual Patents per 1,000 workers 2007-2011: 10.29 (the highest)

Percent adults with at least bachelor’s degree: 45.1% (2nd highest)