At the beginning of the year last year a math department budget was 15% of the total budget. This year it was 10% of the total budget. What percet did the math department budget decrease from last year?

(10%/15%)*100%=(10/15)*100%=

66.67%.

66.67% - 100%=-33.33% or 33.33% Decrease

Another Approach:

%Decrease = ((15%-10%)/15%)*100% =
(5/15)*100% = 33.33%

To find the percentage decrease in the math department budget, you need to calculate the difference between the percentages from last year to this year. Here's how you can do it:

1. Find the difference in percentage points between last year (15%) and this year (10%).
Subtract the percentage last year (15%) from the percentage this year (10%):
15% - 10% = 5%.

2. Divide the difference in percentage points (5%) by the original percentage (15%) to find the percentage decrease:
(5% / 15%) * 100% = 33.33%.

Therefore, the math department budget decreased by 33.33% from last year.