86 is what percent of 902 - 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 902 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 902, so we can write it down as 100%=902.
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%=902
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%=902/86
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 902

100%/x%=902/86
(100/x)*x=(902/86)*x       - we multiply both sides of the equation by x
100=10.488372093023*x       - we divide both sides of the equation by (10.488372093023) to get x
100/10.488372093023=x
9.5343680709534=x
x=9.5343680709534

now we have:
86 is 9.5343680709534% of 902