54 is what percent of 24.3 - 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 24.3 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 24.3, so we can write it down as 100%=24.3.
4. We know, that x% equals 54 of the output value, so we can write it down as x%=54.
5. Now we have two simple equations:
1) 100%=24.3
2) x%=54
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%=24.3/54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54 is what percent of 24.3

100%/x%=24.3/54
(100/x)*x=(24.3/54)*x       - we multiply both sides of the equation by x
100=0.45*x       - we divide both sides of the equation by (0.45) to get x
100/0.45=x
222.22222222222=x
x=222.22222222222

now we have:
54 is 222.22222222222% of 24.3