3.38 is what percent of 41.62 - 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 41.62 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 41.62, so we can write it down as 100%=41.62.
4. We know, that x% equals 3.38 of the output value, so we can write it down as x%=3.38.
5. Now we have two simple equations:
1) 100%=41.62
2) x%=3.38
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%=41.62/3.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.38 is what percent of 41.62

100%/x%=41.62/3.38
(100/x)*x=(41.62/3.38)*x       - we multiply both sides of the equation by x
100=12.313609467456*x       - we divide both sides of the equation by (12.313609467456) to get x
100/12.313609467456=x
8.1210956271024=x
x=8.1210956271024

now we have:
3.38 is 8.1210956271024% of 41.62