90 is what percent of 987.53 - 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 987.53 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 987.53, so we can write it down as 100%=987.53.
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%=987.53
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%=987.53/90
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 987.53

100%/x%=987.53/90
(100/x)*x=(987.53/90)*x       - we multiply both sides of the equation by x
100=10.972555555556*x       - we divide both sides of the equation by (10.972555555556) to get x
100/10.972555555556=x
9.1136471803388=x
x=9.1136471803388

now we have:
90 is 9.1136471803388% of 987.53