37.48 is what percent of 30.72 - 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 30.72 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 30.72, so we can write it down as 100%=30.72.
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%=30.72
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%=30.72/37.48
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 30.72

100%/x%=30.72/37.48
(100/x)*x=(30.72/37.48)*x       - we multiply both sides of the equation by x
100=0.8196371398079*x       - we divide both sides of the equation by (0.8196371398079) to get x
100/0.8196371398079=x
122.00520833333=x
x=122.00520833333

now we have:
37.48 is 122.00520833333% of 30.72