8.4 is what percent of 22.4 - 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 22.4 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 22.4, so we can write it down as 100%=22.4.
4. We know, that x% equals 8.4 of the output value, so we can write it down as x%=8.4.
5. Now we have two simple equations:
1) 100%=22.4
2) x%=8.4
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%=22.4/8.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.4 is what percent of 22.4

100%/x%=22.4/8.4
(100/x)*x=(22.4/8.4)*x       - we multiply both sides of the equation by x
100=2.6666666666667*x       - we divide both sides of the equation by (2.6666666666667) to get x
100/2.6666666666667=x
37.5=x
x=37.5

now we have:
8.4 is 37.5% of 22.4