21 is what percent of 13.64 - 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 13.64 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 13.64, so we can write it down as 100%=13.64.
4. We know, that x% equals 21 of the output value, so we can write it down as x%=21.
5. Now we have two simple equations:
1) 100%=13.64
2) x%=21
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%=13.64/21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21 is what percent of 13.64

100%/x%=13.64/21
(100/x)*x=(13.64/21)*x       - we multiply both sides of the equation by x
100=0.64952380952381*x       - we divide both sides of the equation by (0.64952380952381) to get x
100/0.64952380952381=x
153.95894428152=x
x=153.95894428152

now we have:
21 is 153.95894428152% of 13.64