0.96 is what percent of 7.39 - 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 7.39 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 7.39, so we can write it down as 100%=7.39.
4. We know, that x% equals 0.96 of the output value, so we can write it down as x%=0.96.
5. Now we have two simple equations:
1) 100%=7.39
2) x%=0.96
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%=7.39/0.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.96 is what percent of 7.39

100%/x%=7.39/0.96
(100/x)*x=(7.39/0.96)*x       - we multiply both sides of the equation by x
100=7.6979166666667*x       - we divide both sides of the equation by (7.6979166666667) to get x
100/7.6979166666667=x
12.990527740189=x
x=12.990527740189

now we have:
0.96 is 12.990527740189% of 7.39