54.3 is what percent of 272.3 - 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 272.3 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 272.3, so we can write it down as 100%=272.3.
4. We know, that x% equals 54.3 of the output value, so we can write it down as x%=54.3.
5. Now we have two simple equations:
1) 100%=272.3
2) x%=54.3
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%=272.3/54.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.3 is what percent of 272.3

100%/x%=272.3/54.3
(100/x)*x=(272.3/54.3)*x       - we multiply both sides of the equation by x
100=5.0147329650092*x       - we divide both sides of the equation by (5.0147329650092) to get x
100/5.0147329650092=x
19.941241278002=x
x=19.941241278002

now we have:
54.3 is 19.941241278002% of 272.3