1.06 is what percent of 0.918 - 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 0.918 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 0.918, so we can write it down as 100%=0.918.
4. We know, that x% equals 1.06 of the output value, so we can write it down as x%=1.06.
5. Now we have two simple equations:
1) 100%=0.918
2) x%=1.06
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%=0.918/1.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.06 is what percent of 0.918

100%/x%=0.918/1.06
(100/x)*x=(0.918/1.06)*x       - we multiply both sides of the equation by x
100=0.86603773584906*x       - we divide both sides of the equation by (0.86603773584906) to get x
100/0.86603773584906=x
115.46840958606=x
x=115.46840958606

now we have:
1.06 is 115.46840958606% of 0.918