21 is what percent of 58.64 - 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 58.64 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 58.64, so we can write it down as 100%=58.64.
4. We know, that x% equals 21 of the output value, so we can write it down as x%=21.
5. Now we have two simple equations:
1) 100%=58.64
2) x%=21
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%=58.64/21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21 is what percent of 58.64

100%/x%=58.64/21
(100/x)*x=(58.64/21)*x       - we multiply both sides of the equation by x
100=2.792380952381*x       - we divide both sides of the equation by (2.792380952381) to get x
100/2.792380952381=x
35.81173260573=x
x=35.81173260573

now we have:
21 is 35.81173260573% of 58.64