24.7 is what percent of 21.36 - 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 21.36 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 21.36, so we can write it down as 100%=21.36.
4. We know, that x% equals 24.7 of the output value, so we can write it down as x%=24.7.
5. Now we have two simple equations:
1) 100%=21.36
2) x%=24.7
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%=21.36/24.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.7 is what percent of 21.36

100%/x%=21.36/24.7
(100/x)*x=(21.36/24.7)*x       - we multiply both sides of the equation by x
100=0.86477732793522*x       - we divide both sides of the equation by (0.86477732793522) to get x
100/0.86477732793522=x
115.63670411985=x
x=115.63670411985

now we have:
24.7 is 115.63670411985% of 21.36