22.48 is what percent of 362.5 - 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 362.5 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 362.5, so we can write it down as 100%=362.5.
4. We know, that x% equals 22.48 of the output value, so we can write it down as x%=22.48.
5. Now we have two simple equations:
1) 100%=362.5
2) x%=22.48
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%=362.5/22.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.48 is what percent of 362.5

100%/x%=362.5/22.48
(100/x)*x=(362.5/22.48)*x       - we multiply both sides of the equation by x
100=16.125444839858*x       - we divide both sides of the equation by (16.125444839858) to get x
100/16.125444839858=x
6.2013793103448=x
x=6.2013793103448

now we have:
22.48 is 6.2013793103448% of 362.5