In what may indicate a new level of donor confidence in the Metropolitan Museum of Art’s management, one of its trustees is giving more than $80 million to the museum, the Met announced on Thursday.

The contribution, from the trustee, Florence Irving, and the estate of her husband, Herbert Irving, a co-founder of the food services giant Sysco Corporation who died last year, comes at a time when the Met has made a concerted effort to come back from a period of internal turmoil and financial crisis.

The museum’s latest annual report, also released Thursday, suggests that the Met is making progress. Where a shortfall of $15 million had been projected for the fiscal year 2017, which ended in June, that figure was contained to $10.1 million, according to the report, and the Met said it is on track to eliminate its deficit by 2020.

In addition, the museum’s endowments increased by almost $300 million, to a total of $2.9 billion; and the Met said it raised $232 million in philanthropic gifts, membership dues and government support.