27.2 is what percent of 47.6 - 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 47.6 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 47.6, so we can write it down as 100%=47.6.
4. We know, that x% equals 27.2 of the output value, so we can write it down as x%=27.2.
5. Now we have two simple equations:
1) 100%=47.6
2) x%=27.2
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%=47.6/27.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.2 is what percent of 47.6

100%/x%=47.6/27.2
(100/x)*x=(47.6/27.2)*x       - we multiply both sides of the equation by x
100=1.75*x       - we divide both sides of the equation by (1.75) to get x
100/1.75=x
57.142857142857=x
x=57.142857142857

now we have:
27.2 is 57.142857142857% of 47.6