7.48 is what percent of 13.05 - 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 13.05 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 13.05, so we can write it down as 100%=13.05.
4. We know, that x% equals 7.48 of the output value, so we can write it down as x%=7.48.
5. Now we have two simple equations:
1) 100%=13.05
2) x%=7.48
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%=13.05/7.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.48 is what percent of 13.05

100%/x%=13.05/7.48
(100/x)*x=(13.05/7.48)*x       - we multiply both sides of the equation by x
100=1.7446524064171*x       - we divide both sides of the equation by (1.7446524064171) to get x
100/1.7446524064171=x
57.318007662835=x
x=57.318007662835

now we have:
7.48 is 57.318007662835% of 13.05