76.56 is what percent of 87 - 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 87 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 87, so we can write it down as 100%=87.
4. We know, that x% equals 76.56 of the output value, so we can write it down as x%=76.56.
5. Now we have two simple equations:
1) 100%=87
2) x%=76.56
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%=87/76.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.56 is what percent of 87

100%/x%=87/76.56
(100/x)*x=(87/76.56)*x       - we multiply both sides of the equation by x
100=1.1363636363636*x       - we divide both sides of the equation by (1.1363636363636) to get x
100/1.1363636363636=x
88=x
x=88

now we have:
76.56 is 88% of 87