86.17 is what percent of 1013 - 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 1013 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 1013, so we can write it down as 100%=1013.
4. We know, that x% equals 86.17 of the output value, so we can write it down as x%=86.17.
5. Now we have two simple equations:
1) 100%=1013
2) x%=86.17
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%=1013/86.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86.17 is what percent of 1013

100%/x%=1013/86.17
(100/x)*x=(1013/86.17)*x       - we multiply both sides of the equation by x
100=11.75583149588*x       - we divide both sides of the equation by (11.75583149588) to get x
100/11.75583149588=x
8.5064165844028=x
x=8.5064165844028

now we have:
86.17 is 8.5064165844028% of 1013