72.8 is what percent of 47.58 - 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 47.58 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 47.58, so we can write it down as 100%=47.58.
4. We know, that x% equals 72.8 of the output value, so we can write it down as x%=72.8.
5. Now we have two simple equations:
1) 100%=47.58
2) x%=72.8
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%=47.58/72.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.8 is what percent of 47.58

100%/x%=47.58/72.8
(100/x)*x=(47.58/72.8)*x       - we multiply both sides of the equation by x
100=0.65357142857143*x       - we divide both sides of the equation by (0.65357142857143) to get x
100/0.65357142857143=x
153.00546448087=x
x=153.00546448087

now we have:
72.8 is 153.00546448087% of 47.58