54.3 is what percent of 106.6 - 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 106.6 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 106.6, so we can write it down as 100%=106.6.
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%=106.6
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%=106.6/54.3
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 106.6

100%/x%=106.6/54.3
(100/x)*x=(106.6/54.3)*x       - we multiply both sides of the equation by x
100=1.963167587477*x       - we divide both sides of the equation by (1.963167587477) to get x
100/1.963167587477=x
50.93808630394=x
x=50.93808630394

now we have:
54.3 is 50.93808630394% of 106.6