86 is what percent of 1109 - 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 1109 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 1109, so we can write it down as 100%=1109.
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%=1109
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%=1109/86
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 1109

100%/x%=1109/86
(100/x)*x=(1109/86)*x       - we multiply both sides of the equation by x
100=12.895348837209*x       - we divide both sides of the equation by (12.895348837209) to get x
100/12.895348837209=x
7.7547339945897=x
x=7.7547339945897

now we have:
86 is 7.7547339945897% of 1109