41.65 is what percent of 333.25 - 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 333.25 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 333.25, so we can write it down as 100%=333.25.
4. We know, that x% equals 41.65 of the output value, so we can write it down as x%=41.65.
5. Now we have two simple equations:
1) 100%=333.25
2) x%=41.65
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%=333.25/41.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.65 is what percent of 333.25

100%/x%=333.25/41.65
(100/x)*x=(333.25/41.65)*x       - we multiply both sides of the equation by x
100=8.0012004801921*x       - we divide both sides of the equation by (8.0012004801921) to get x
100/8.0012004801921=x
12.498124531133=x
x=12.498124531133

now we have:
41.65 is 12.498124531133% of 333.25