7.28 is what percent of 72.78 - 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 72.78 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 72.78, so we can write it down as 100%=72.78.
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%=72.78
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%=72.78/7.28
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 72.78

100%/x%=72.78/7.28
(100/x)*x=(72.78/7.28)*x       - we multiply both sides of the equation by x
100=9.9972527472527*x       - we divide both sides of the equation by (9.9972527472527) to get x
100/9.9972527472527=x
10.002748007694=x
x=10.002748007694

now we have:
7.28 is 10.002748007694% of 72.78