100.15 is what percent of 121 - 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 121 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 121, so we can write it down as 100%=121.
4. We know, that x% equals 100.15 of the output value, so we can write it down as x%=100.15.
5. Now we have two simple equations:
1) 100%=121
2) x%=100.15
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%=121/100.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.15 is what percent of 121

100%/x%=121/100.15
(100/x)*x=(121/100.15)*x       - we multiply both sides of the equation by x
100=1.2081877184224*x       - we divide both sides of the equation by (1.2081877184224) to get x
100/1.2081877184224=x
82.768595041322=x
x=82.768595041322

now we have:
100.15 is 82.768595041322% of 121