21.12 is what percent of 137.7 - 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 137.7 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 137.7, so we can write it down as 100%=137.7.
4. We know, that x% equals 21.12 of the output value, so we can write it down as x%=21.12.
5. Now we have two simple equations:
1) 100%=137.7
2) x%=21.12
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%=137.7/21.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.12 is what percent of 137.7

100%/x%=137.7/21.12
(100/x)*x=(137.7/21.12)*x       - we multiply both sides of the equation by x
100=6.5198863636364*x       - we divide both sides of the equation by (6.5198863636364) to get x
100/6.5198863636364=x
15.337690631808=x
x=15.337690631808

now we have:
21.12 is 15.337690631808% of 137.7