41.68 is what percent of 338.9 - 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 338.9 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 338.9, so we can write it down as 100%=338.9.
4. We know, that x% equals 41.68 of the output value, so we can write it down as x%=41.68.
5. Now we have two simple equations:
1) 100%=338.9
2) x%=41.68
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%=338.9/41.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.68 is what percent of 338.9

100%/x%=338.9/41.68
(100/x)*x=(338.9/41.68)*x       - we multiply both sides of the equation by x
100=8.1309980806142*x       - we divide both sides of the equation by (8.1309980806142) to get x
100/8.1309980806142=x
12.298613160224=x
x=12.298613160224

now we have:
41.68 is 12.298613160224% of 338.9