21.08 is what percent of 126.55 - 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 126.55 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 126.55, so we can write it down as 100%=126.55.
4. We know, that x% equals 21.08 of the output value, so we can write it down as x%=21.08.
5. Now we have two simple equations:
1) 100%=126.55
2) x%=21.08
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%=126.55/21.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.08 is what percent of 126.55

100%/x%=126.55/21.08
(100/x)*x=(126.55/21.08)*x       - we multiply both sides of the equation by x
100=6.003320683112*x       - we divide both sides of the equation by (6.003320683112) to get x
100/6.003320683112=x
16.657447649151=x
x=16.657447649151

now we have:
21.08 is 16.657447649151% of 126.55