0.48 is what percent of 7.32 - 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 7.32 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 7.32, so we can write it down as 100%=7.32.
4. We know, that x% equals 0.48 of the output value, so we can write it down as x%=0.48.
5. Now we have two simple equations:
1) 100%=7.32
2) x%=0.48
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%=7.32/0.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.48 is what percent of 7.32

100%/x%=7.32/0.48
(100/x)*x=(7.32/0.48)*x       - we multiply both sides of the equation by x
100=15.25*x       - we divide both sides of the equation by (15.25) to get x
100/15.25=x
6.5573770491803=x
x=6.5573770491803

now we have:
0.48 is 6.5573770491803% of 7.32