21.2 is what percent of 25.1 - 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 25.1 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 25.1, so we can write it down as 100%=25.1.
4. We know, that x% equals 21.2 of the output value, so we can write it down as x%=21.2.
5. Now we have two simple equations:
1) 100%=25.1
2) x%=21.2
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%=25.1/21.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.2 is what percent of 25.1

100%/x%=25.1/21.2
(100/x)*x=(25.1/21.2)*x       - we multiply both sides of the equation by x
100=1.1839622641509*x       - we divide both sides of the equation by (1.1839622641509) to get x
100/1.1839622641509=x
84.462151394422=x
x=84.462151394422

now we have:
21.2 is 84.462151394422% of 25.1