0.48 is what percent of 6.37 - 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 6.37 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 6.37, so we can write it down as 100%=6.37.
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%=6.37
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%=6.37/0.48
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 6.37

100%/x%=6.37/0.48
(100/x)*x=(6.37/0.48)*x       - we multiply both sides of the equation by x
100=13.270833333333*x       - we divide both sides of the equation by (13.270833333333) to get x
100/13.270833333333=x
7.5353218210361=x
x=7.5353218210361

now we have:
0.48 is 7.5353218210361% of 6.37