118.75 is what percent of 165 - 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 165 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 165, so we can write it down as 100%=165.
4. We know, that x% equals 118.75 of the output value, so we can write it down as x%=118.75.
5. Now we have two simple equations:
1) 100%=165
2) x%=118.75
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%=165/118.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.75 is what percent of 165

100%/x%=165/118.75
(100/x)*x=(165/118.75)*x       - we multiply both sides of the equation by x
100=1.3894736842105*x       - we divide both sides of the equation by (1.3894736842105) to get x
100/1.3894736842105=x
71.969696969697=x
x=71.969696969697

now we have:
118.75 is 71.969696969697% of 165