21.5 is what percent of 1538.47 - 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 1538.47 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 1538.47, so we can write it down as 100%=1538.47.
4. We know, that x% equals 21.5 of the output value, so we can write it down as x%=21.5.
5. Now we have two simple equations:
1) 100%=1538.47
2) x%=21.5
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%=1538.47/21.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.5 is what percent of 1538.47

100%/x%=1538.47/21.5
(100/x)*x=(1538.47/21.5)*x       - we multiply both sides of the equation by x
100=71.556744186047*x       - we divide both sides of the equation by (71.556744186047) to get x
100/71.556744186047=x
1.3974923137923=x
x=1.3974923137923

now we have:
21.5 is 1.3974923137923% of 1538.47