22.4 is what percent of 28.35 - 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 28.35 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 28.35, so we can write it down as 100%=28.35.
4. We know, that x% equals 22.4 of the output value, so we can write it down as x%=22.4.
5. Now we have two simple equations:
1) 100%=28.35
2) x%=22.4
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%=28.35/22.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.4 is what percent of 28.35

100%/x%=28.35/22.4
(100/x)*x=(28.35/22.4)*x       - we multiply both sides of the equation by x
100=1.265625*x       - we divide both sides of the equation by (1.265625) to get x
100/1.265625=x
79.012345679012=x
x=79.012345679012

now we have:
22.4 is 79.012345679012% of 28.35