74 is what percent of 91.25 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 91.25 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 91.25, so we can write it down as 100%=91.25.
4. We know, that x% equals 74 of the output value, so we can write it down as x%=74.
5. Now we have two simple equations:
1) 100%=91.25
2) x%=74
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=91.25/74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74 is what percent of 91.25

100%/x%=91.25/74
(100/x)*x=(91.25/74)*x       - we multiply both sides of the equation by x
100=1.2331081081081*x       - we divide both sides of the equation by (1.2331081081081) to get x
100/1.2331081081081=x
81.095890410959=x
x=81.095890410959

now we have:
74 is 81.095890410959% of 91.25