78.5 is what percent of 87.5 - 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 87.5 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 87.5, so we can write it down as 100%=87.5.
4. We know, that x% equals 78.5 of the output value, so we can write it down as x%=78.5.
5. Now we have two simple equations:
1) 100%=87.5
2) x%=78.5
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%=87.5/78.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.5 is what percent of 87.5

100%/x%=87.5/78.5
(100/x)*x=(87.5/78.5)*x       - we multiply both sides of the equation by x
100=1.1146496815287*x       - we divide both sides of the equation by (1.1146496815287) to get x
100/1.1146496815287=x
89.714285714286=x
x=89.714285714286

now we have:
78.5 is 89.714285714286% of 87.5