Asweater is marked down from an original price of $45 to $33.75. by what percent has the original price of the sweater been marked down?

33.75/45.00 x 100 = 75%
This means you are paying 75% of the original.

That means that the price has been marked down by 100-75 = 25% because that is how much of the original you are NOT paying.

Therefore, the answer is 25%.

The first step in this problem is to determine the difference between 45 and 33.75. If we subtract, that gives us 11.25.

The second step is to determine what percentage of 45 is 11.25, which can be accomplished two way. The first way is to determine how many times 11.25 goes into 25.

45 divided by 11.25 = 4, so the answer would be 25%.

The other way to do the last step is to divide 11.25 by 45, which gives us .25, and multiply that by 100, which equates to 25%. In either case, the answer is 25%.

Hope this helps!