8.74 is what percent of 113.25 - 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 113.25 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 113.25, so we can write it down as 100%=113.25.
4. We know, that x% equals 8.74 of the output value, so we can write it down as x%=8.74.
5. Now we have two simple equations:
1) 100%=113.25
2) x%=8.74
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%=113.25/8.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.74 is what percent of 113.25

100%/x%=113.25/8.74
(100/x)*x=(113.25/8.74)*x       - we multiply both sides of the equation by x
100=12.95766590389*x       - we divide both sides of the equation by (12.95766590389) to get x
100/12.95766590389=x
7.7174392935982=x
x=7.7174392935982

now we have:
8.74 is 7.7174392935982% of 113.25