25.02 is what percent of 200.22 - 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 200.22 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 200.22, so we can write it down as 100%=200.22.
4. We know, that x% equals 25.02 of the output value, so we can write it down as x%=25.02.
5. Now we have two simple equations:
1) 100%=200.22
2) x%=25.02
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%=200.22/25.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.02 is what percent of 200.22

100%/x%=200.22/25.02
(100/x)*x=(200.22/25.02)*x       - we multiply both sides of the equation by x
100=8.0023980815348*x       - we divide both sides of the equation by (8.0023980815348) to get x
100/8.0023980815348=x
12.496254120467=x
x=12.496254120467

now we have:
25.02 is 12.496254120467% of 200.22