41.34 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 41.34 of the output value, so we can write it down as x%=41.34.
5. Now we have two simple equations:
1) 100%=200.22
2) x%=41.34
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%=200.22/41.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.34 is what percent of 200.22

100%/x%=200.22/41.34
(100/x)*x=(200.22/41.34)*x       - we multiply both sides of the equation by x
100=4.8432510885341*x       - we divide both sides of the equation by (4.8432510885341) to get x
100/4.8432510885341=x
20.647287983218=x
x=20.647287983218

now we have:
41.34 is 20.647287983218% of 200.22