87 is what percent of 82 - 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 82 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 82, so we can write it down as 100%=82.
4. We know, that x% equals 87 of the output value, so we can write it down as x%=87.
5. Now we have two simple equations:
1) 100%=82
2) x%=87
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%=82/87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87 is what percent of 82

100%/x%=82/87
(100/x)*x=(82/87)*x       - we multiply both sides of the equation by x
100=0.94252873563218*x       - we divide both sides of the equation by (0.94252873563218) to get x
100/0.94252873563218=x
106.09756097561=x
x=106.09756097561

now we have:
87 is 106.09756097561% of 82