21.6 is what percent of 398.12 - 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 398.12 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 398.12, so we can write it down as 100%=398.12.
4. We know, that x% equals 21.6 of the output value, so we can write it down as x%=21.6.
5. Now we have two simple equations:
1) 100%=398.12
2) x%=21.6
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%=398.12/21.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.6 is what percent of 398.12

100%/x%=398.12/21.6
(100/x)*x=(398.12/21.6)*x       - we multiply both sides of the equation by x
100=18.431481481481*x       - we divide both sides of the equation by (18.431481481481) to get x
100/18.431481481481=x
5.4254998492917=x
x=5.4254998492917

now we have:
21.6 is 5.4254998492917% of 398.12