86 is what percent of 1007.5 - 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 1007.5 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 1007.5, so we can write it down as 100%=1007.5.
4. We know, that x% equals 86 of the output value, so we can write it down as x%=86.
5. Now we have two simple equations:
1) 100%=1007.5
2) x%=86
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%=1007.5/86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86 is what percent of 1007.5

100%/x%=1007.5/86
(100/x)*x=(1007.5/86)*x       - we multiply both sides of the equation by x
100=11.71511627907*x       - we divide both sides of the equation by (11.71511627907) to get x
100/11.71511627907=x
8.5359801488834=x
x=8.5359801488834

now we have:
86 is 8.5359801488834% of 1007.5