75.27 is what percent of 117.61 - 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 117.61 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 117.61, so we can write it down as 100%=117.61.
4. We know, that x% equals 75.27 of the output value, so we can write it down as x%=75.27.
5. Now we have two simple equations:
1) 100%=117.61
2) x%=75.27
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%=117.61/75.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.27 is what percent of 117.61

100%/x%=117.61/75.27
(100/x)*x=(117.61/75.27)*x       - we multiply both sides of the equation by x
100=1.5625083034409*x       - we divide both sides of the equation by (1.5625083034409) to get x
100/1.5625083034409=x
63.999659892866=x
x=63.999659892866

now we have:
75.27 is 63.999659892866% of 117.61