87 is what percent of 12057 - 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 12057 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 12057, so we can write it down as 100%=12057.
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%=12057
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%=12057/87
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 12057

100%/x%=12057/87
(100/x)*x=(12057/87)*x       - we multiply both sides of the equation by x
100=138.58620689655*x       - we divide both sides of the equation by (138.58620689655) to get x
100/138.58620689655=x
0.72157253048022=x
x=0.72157253048022

now we have:
87 is 0.72157253048022% of 12057