41.07 is what percent of 329.54 - 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 329.54 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 329.54, so we can write it down as 100%=329.54.
4. We know, that x% equals 41.07 of the output value, so we can write it down as x%=41.07.
5. Now we have two simple equations:
1) 100%=329.54
2) x%=41.07
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%=329.54/41.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.07 is what percent of 329.54

100%/x%=329.54/41.07
(100/x)*x=(329.54/41.07)*x       - we multiply both sides of the equation by x
100=8.0238616995374*x       - we divide both sides of the equation by (8.0238616995374) to get x
100/8.0238616995374=x
12.462826970929=x
x=12.462826970929

now we have:
41.07 is 12.462826970929% of 329.54