21426.42 is what percent of 36426.42 - 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 36426.42 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 36426.42, so we can write it down as 100%=36426.42.
4. We know, that x% equals 21426.42 of the output value, so we can write it down as x%=21426.42.
5. Now we have two simple equations:
1) 100%=36426.42
2) x%=21426.42
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%=36426.42/21426.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21426.42 is what percent of 36426.42

100%/x%=36426.42/21426.42
(100/x)*x=(36426.42/21426.42)*x       - we multiply both sides of the equation by x
100=1.7000702870568*x       - we divide both sides of the equation by (1.7000702870568) to get x
100/1.7000702870568=x
58.821097434225=x
x=58.821097434225

now we have:
21426.42 is 58.821097434225% of 36426.42