21.38 is what percent of 712.54 - 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 712.54 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 712.54, so we can write it down as 100%=712.54.
4. We know, that x% equals 21.38 of the output value, so we can write it down as x%=21.38.
5. Now we have two simple equations:
1) 100%=712.54
2) x%=21.38
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%=712.54/21.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.38 is what percent of 712.54

100%/x%=712.54/21.38
(100/x)*x=(712.54/21.38)*x       - we multiply both sides of the equation by x
100=33.327408793265*x       - we divide both sides of the equation by (33.327408793265) to get x
100/33.327408793265=x
3.0005333033935=x
x=3.0005333033935

now we have:
21.38 is 3.0005333033935% of 712.54