87.62 is what percent of 882 - 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 882 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 882, so we can write it down as 100%=882.
4. We know, that x% equals 87.62 of the output value, so we can write it down as x%=87.62.
5. Now we have two simple equations:
1) 100%=882
2) x%=87.62
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%=882/87.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87.62 is what percent of 882

100%/x%=882/87.62
(100/x)*x=(882/87.62)*x       - we multiply both sides of the equation by x
100=10.066194932664*x       - we divide both sides of the equation by (10.066194932664) to get x
100/10.066194932664=x
9.9342403628118=x
x=9.9342403628118

now we have:
87.62 is 9.9342403628118% of 882