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To calculate the percentage of federally funded obligations accounted for by HHS (Department of Health and Human Services), we need to find the total federally funded obligations for each year and then determine the percentage that HHS represents.

Using the data provided in the table:

For the year 2012:

Total federally funded obligations = 31003

HHS funded obligations = 17939

Percentage of HHS obligations in 2012 = (HHS funded obligations / Total funded obligations) * 100

Percentage in 2012 = (17939 / 31003) * 100 ≈ 57.88%

For the year 2013:

Total federally funded obligations = 29353

HHS funded obligations = 16881

Percentage of HHS obligations in 2013 = (16881 / 29353) * 100 ≈ 57.52%

For the year 2014:

Total federally funded obligations = 31095

HHS funded obligations = 17517

Percentage of HHS obligations in 2014 = (17517 / 31095) * 100 ≈ 56.33%

For the year 2015:

Total federally funded obligations = 30494

HHS funded obligations = 17008

Percentage of HHS obligations in 2015 = (17008 / 30494) * 100 ≈ 55.80%

Hence, the percentage of federally funded obligations accounted for by HHS (Department of Health and Human Services) ranged from approximately 55.80% to 57.88% over the years 2012 to 2015.