21.2 is what percent of 25.4 - 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 25.4 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 25.4, so we can write it down as 100%=25.4.
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%=25.4
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%=25.4/21.2
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 25.4

100%/x%=25.4/21.2
(100/x)*x=(25.4/21.2)*x       - we multiply both sides of the equation by x
100=1.1981132075472*x       - we divide both sides of the equation by (1.1981132075472) to get x
100/1.1981132075472=x
83.464566929134=x
x=83.464566929134

now we have:
21.2 is 83.464566929134% of 25.4