45.72 is what percent of 54.3 - 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 54.3 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 54.3, so we can write it down as 100%=54.3.
4. We know, that x% equals 45.72 of the output value, so we can write it down as x%=45.72.
5. Now we have two simple equations:
1) 100%=54.3
2) x%=45.72
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%=54.3/45.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.72 is what percent of 54.3

100%/x%=54.3/45.72
(100/x)*x=(54.3/45.72)*x       - we multiply both sides of the equation by x
100=1.1876640419948*x       - we divide both sides of the equation by (1.1876640419948) to get x
100/1.1876640419948=x
84.198895027624=x
x=84.198895027624

now we have:
45.72 is 84.198895027624% of 54.3