37.48 is what percent of 330 - 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 330 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 330, so we can write it down as 100%=330.
4. We know, that x% equals 37.48 of the output value, so we can write it down as x%=37.48.
5. Now we have two simple equations:
1) 100%=330
2) x%=37.48
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%=330/37.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.48 is what percent of 330

100%/x%=330/37.48
(100/x)*x=(330/37.48)*x       - we multiply both sides of the equation by x
100=8.8046958377801*x       - we divide both sides of the equation by (8.8046958377801) to get x
100/8.8046958377801=x
11.357575757576=x
x=11.357575757576

now we have:
37.48 is 11.357575757576% of 330