21.24 is what percent of 23.632 - 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 23.632 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 23.632, so we can write it down as 100%=23.632.
4. We know, that x% equals 21.24 of the output value, so we can write it down as x%=21.24.
5. Now we have two simple equations:
1) 100%=23.632
2) x%=21.24
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%=23.632/21.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.24 is what percent of 23.632

100%/x%=23.632/21.24
(100/x)*x=(23.632/21.24)*x       - we multiply both sides of the equation by x
100=1.1126177024482*x       - we divide both sides of the equation by (1.1126177024482) to get x
100/1.1126177024482=x
89.878131347326=x
x=89.878131347326

now we have:
21.24 is 89.878131347326% of 23.632