47.13 is what percent of 54 - 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 54 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 54, so we can write it down as 100%=54.
4. We know, that x% equals 47.13 of the output value, so we can write it down as x%=47.13.
5. Now we have two simple equations:
1) 100%=54
2) x%=47.13
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%=54/47.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.13 is what percent of 54

100%/x%=54/47.13
(100/x)*x=(54/47.13)*x       - we multiply both sides of the equation by x
100=1.1457670273711*x       - we divide both sides of the equation by (1.1457670273711) to get x
100/1.1457670273711=x
87.277777777778=x
x=87.277777777778

now we have:
47.13 is 87.277777777778% of 54