102.4 is what percent of 117.5 - 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 117.5 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 117.5, so we can write it down as 100%=117.5.
4. We know, that x% equals 102.4 of the output value, so we can write it down as x%=102.4.
5. Now we have two simple equations:
1) 100%=117.5
2) x%=102.4
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%=117.5/102.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.4 is what percent of 117.5

100%/x%=117.5/102.4
(100/x)*x=(117.5/102.4)*x       - we multiply both sides of the equation by x
100=1.1474609375*x       - we divide both sides of the equation by (1.1474609375) to get x
100/1.1474609375=x
87.148936170213=x
x=87.148936170213

now we have:
102.4 is 87.148936170213% of 117.5