21.48 is what percent of 21.585 - 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 21.585 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 21.585, so we can write it down as 100%=21.585.
4. We know, that x% equals 21.48 of the output value, so we can write it down as x%=21.48.
5. Now we have two simple equations:
1) 100%=21.585
2) x%=21.48
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%=21.585/21.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.48 is what percent of 21.585

100%/x%=21.585/21.48
(100/x)*x=(21.585/21.48)*x       - we multiply both sides of the equation by x
100=1.0048882681564*x       - we divide both sides of the equation by (1.0048882681564) to get x
100/1.0048882681564=x
99.513551077137=x
x=99.513551077137

now we have:
21.48 is 99.513551077137% of 21.585