90.88 is what percent of 632.5 - 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 632.5 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 632.5, so we can write it down as 100%=632.5.
4. We know, that x% equals 90.88 of the output value, so we can write it down as x%=90.88.
5. Now we have two simple equations:
1) 100%=632.5
2) x%=90.88
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%=632.5/90.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.88 is what percent of 632.5

100%/x%=632.5/90.88
(100/x)*x=(632.5/90.88)*x       - we multiply both sides of the equation by x
100=6.9597271126761*x       - we divide both sides of the equation by (6.9597271126761) to get x
100/6.9597271126761=x
14.36837944664=x
x=14.36837944664

now we have:
90.88 is 14.36837944664% of 632.5