85.72 is what percent of 978.2 - 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 978.2 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 978.2, so we can write it down as 100%=978.2.
4. We know, that x% equals 85.72 of the output value, so we can write it down as x%=85.72.
5. Now we have two simple equations:
1) 100%=978.2
2) x%=85.72
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%=978.2/85.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.72 is what percent of 978.2

100%/x%=978.2/85.72
(100/x)*x=(978.2/85.72)*x       - we multiply both sides of the equation by x
100=11.411572561829*x       - we divide both sides of the equation by (11.411572561829) to get x
100/11.411572561829=x
8.7630341443468=x
x=8.7630341443468

now we have:
85.72 is 8.7630341443468% of 978.2