76.88 is what percent of 89.72 - 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 89.72 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 89.72, so we can write it down as 100%=89.72.
4. We know, that x% equals 76.88 of the output value, so we can write it down as x%=76.88.
5. Now we have two simple equations:
1) 100%=89.72
2) x%=76.88
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%=89.72/76.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.88 is what percent of 89.72

100%/x%=89.72/76.88
(100/x)*x=(89.72/76.88)*x       - we multiply both sides of the equation by x
100=1.1670135275754*x       - we divide both sides of the equation by (1.1670135275754) to get x
100/1.1670135275754=x
85.68880962996=x
x=85.68880962996

now we have:
76.88 is 85.68880962996% of 89.72