0.72 is what percent of 4.7 - 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 4.7 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 4.7, so we can write it down as 100%=4.7.
4. We know, that x% equals 0.72 of the output value, so we can write it down as x%=0.72.
5. Now we have two simple equations:
1) 100%=4.7
2) x%=0.72
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%=4.7/0.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.72 is what percent of 4.7

100%/x%=4.7/0.72
(100/x)*x=(4.7/0.72)*x       - we multiply both sides of the equation by x
100=6.5277777777778*x       - we divide both sides of the equation by (6.5277777777778) to get x
100/6.5277777777778=x
15.31914893617=x
x=15.31914893617

now we have:
0.72 is 15.31914893617% of 4.7