21.52 is what percent of 1082.51 - 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 1082.51 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 1082.51, so we can write it down as 100%=1082.51.
4. We know, that x% equals 21.52 of the output value, so we can write it down as x%=21.52.
5. Now we have two simple equations:
1) 100%=1082.51
2) x%=21.52
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%=1082.51/21.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.52 is what percent of 1082.51

100%/x%=1082.51/21.52
(100/x)*x=(1082.51/21.52)*x       - we multiply both sides of the equation by x
100=50.30250929368*x       - we divide both sides of the equation by (50.30250929368) to get x
100/50.30250929368=x
1.9879723974836=x
x=1.9879723974836

now we have:
21.52 is 1.9879723974836% of 1082.51