21.06 is what percent of 39.74 - 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 39.74 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 39.74, so we can write it down as 100%=39.74.
4. We know, that x% equals 21.06 of the output value, so we can write it down as x%=21.06.
5. Now we have two simple equations:
1) 100%=39.74
2) x%=21.06
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%=39.74/21.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.06 is what percent of 39.74

100%/x%=39.74/21.06
(100/x)*x=(39.74/21.06)*x       - we multiply both sides of the equation by x
100=1.8869895536562*x       - we divide both sides of the equation by (1.8869895536562) to get x
100/1.8869895536562=x
52.994464016105=x
x=52.994464016105

now we have:
21.06 is 52.994464016105% of 39.74