WASHINGTON The nation’s fiscal outlook is even bleaker than the government forecast earlier this year because the recession turned out to be deeper than widely expected, the budget offices of the White House and Congress agreed in separate updates on Tuesday.

The Obama administration’s Office of Management and Budget raised its 10-year tally of deficits expected through 2019 to $9.05 trillion, nearly $2 trillion more than it projected in February. That would represent 5.1 percent of the economy’s estimated gross domestic product for the decade, a higher level than is generally considered healthy.

The Congressional Budget Office, which unlike the administration did not account for the president’s policy proposals in its latest report, increased its projection of deficits over the next decade. Absent any changes in law, it said the deficit would rise to $7.1 trillion, from $4.4 trillion in March.

The C.B.O. did analyze the president’s budget in June and concluded his proposed tax cuts and spending would push deficits through 2019 above $9 trillion. While the administration now agrees with that figure, technical data in the new C.B.O. report suggests that if it were to review the Obama budget now, it would project deficits through 2019 above $10 trillion, analysts speculated.