108.7 is what percent of 870 - 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 870 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 870, so we can write it down as 100%=870.
4. We know, that x% equals 108.7 of the output value, so we can write it down as x%=108.7.
5. Now we have two simple equations:
1) 100%=870
2) x%=108.7
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%=870/108.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.7 is what percent of 870

100%/x%=870/108.7
(100/x)*x=(870/108.7)*x       - we multiply both sides of the equation by x
100=8.0036798528059*x       - we divide both sides of the equation by (8.0036798528059) to get x
100/8.0036798528059=x
12.494252873563=x
x=12.494252873563

now we have:
108.7 is 12.494252873563% of 870