46.57 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 46.57 of the output value, so we can write it down as x%=46.57.
5. Now we have two simple equations:
1) 100%=87
2) x%=46.57
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%=87/46.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.57 is what percent of 87

100%/x%=87/46.57
(100/x)*x=(87/46.57)*x       - we multiply both sides of the equation by x
100=1.8681554648916*x       - we divide both sides of the equation by (1.8681554648916) to get x
100/1.8681554648916=x
53.528735632184=x
x=53.528735632184

now we have:
46.57 is 53.528735632184% of 87