7.28 is what percent of 59.28 - 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 59.28 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 59.28, so we can write it down as 100%=59.28.
4. We know, that x% equals 7.28 of the output value, so we can write it down as x%=7.28.
5. Now we have two simple equations:
1) 100%=59.28
2) x%=7.28
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%=59.28/7.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.28 is what percent of 59.28

100%/x%=59.28/7.28
(100/x)*x=(59.28/7.28)*x       - we multiply both sides of the equation by x
100=8.1428571428571*x       - we divide both sides of the equation by (8.1428571428571) to get x
100/8.1428571428571=x
12.280701754386=x
x=12.280701754386

now we have:
7.28 is 12.280701754386% of 59.28