22.69 is what percent of 200.12 - 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 200.12 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 200.12, so we can write it down as 100%=200.12.
4. We know, that x% equals 22.69 of the output value, so we can write it down as x%=22.69.
5. Now we have two simple equations:
1) 100%=200.12
2) x%=22.69
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%=200.12/22.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.69 is what percent of 200.12

100%/x%=200.12/22.69
(100/x)*x=(200.12/22.69)*x       - we multiply both sides of the equation by x
100=8.8197443807845*x       - we divide both sides of the equation by (8.8197443807845) to get x
100/8.8197443807845=x
11.338197081751=x
x=11.338197081751

now we have:
22.69 is 11.338197081751% of 200.12