86 is what percent of 1022 - 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 1022 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 1022, so we can write it down as 100%=1022.
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%=1022
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%=1022/86
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 1022

100%/x%=1022/86
(100/x)*x=(1022/86)*x       - we multiply both sides of the equation by x
100=11.883720930233*x       - we divide both sides of the equation by (11.883720930233) to get x
100/11.883720930233=x
8.4148727984344=x
x=8.4148727984344

now we have:
86 is 8.4148727984344% of 1022