117.5 is what percent of 127.5 - 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 127.5 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 127.5, so we can write it down as 100%=127.5.
4. We know, that x% equals 117.5 of the output value, so we can write it down as x%=117.5.
5. Now we have two simple equations:
1) 100%=127.5
2) x%=117.5
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%=127.5/117.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 117.5 is what percent of 127.5

100%/x%=127.5/117.5
(100/x)*x=(127.5/117.5)*x       - we multiply both sides of the equation by x
100=1.0851063829787*x       - we divide both sides of the equation by (1.0851063829787) to get x
100/1.0851063829787=x
92.156862745098=x
x=92.156862745098

now we have:
117.5 is 92.156862745098% of 127.5