0.48 is what percent of 7.03 - 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 7.03 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 7.03, so we can write it down as 100%=7.03.
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%=7.03
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%=7.03/0.48
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 7.03

100%/x%=7.03/0.48
(100/x)*x=(7.03/0.48)*x       - we multiply both sides of the equation by x
100=14.645833333333*x       - we divide both sides of the equation by (14.645833333333) to get x
100/14.645833333333=x
6.827880512091=x
x=6.827880512091

now we have:
0.48 is 6.827880512091% of 7.03