87 is what percent of 612 - 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 612 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 612, so we can write it down as 100%=612.
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%=612
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%=612/87
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 612

100%/x%=612/87
(100/x)*x=(612/87)*x       - we multiply both sides of the equation by x
100=7.0344827586207*x       - we divide both sides of the equation by (7.0344827586207) to get x
100/7.0344827586207=x
14.21568627451=x
x=14.21568627451

now we have:
87 is 14.21568627451% of 612