90 is what percent of 115.75 - 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 115.75 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 115.75, so we can write it down as 100%=115.75.
4. We know, that x% equals 90 of the output value, so we can write it down as x%=90.
5. Now we have two simple equations:
1) 100%=115.75
2) x%=90
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%=115.75/90
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90 is what percent of 115.75

100%/x%=115.75/90
(100/x)*x=(115.75/90)*x       - we multiply both sides of the equation by x
100=1.2861111111111*x       - we divide both sides of the equation by (1.2861111111111) to get x
100/1.2861111111111=x
77.753779697624=x
x=77.753779697624

now we have:
90 is 77.753779697624% of 115.75