8.7 is what percent of 51.8 - 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 51.8 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 51.8, so we can write it down as 100%=51.8.
4. We know, that x% equals 8.7 of the output value, so we can write it down as x%=8.7.
5. Now we have two simple equations:
1) 100%=51.8
2) x%=8.7
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%=51.8/8.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.7 is what percent of 51.8

100%/x%=51.8/8.7
(100/x)*x=(51.8/8.7)*x       - we multiply both sides of the equation by x
100=5.9540229885057*x       - we divide both sides of the equation by (5.9540229885057) to get x
100/5.9540229885057=x
16.795366795367=x
x=16.795366795367

now we have:
8.7 is 16.795366795367% of 51.8