47.2 is what percent of 43.6 - 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 43.6 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 43.6, so we can write it down as 100%=43.6.
4. We know, that x% equals 47.2 of the output value, so we can write it down as x%=47.2.
5. Now we have two simple equations:
1) 100%=43.6
2) x%=47.2
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%=43.6/47.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.2 is what percent of 43.6

100%/x%=43.6/47.2
(100/x)*x=(43.6/47.2)*x       - we multiply both sides of the equation by x
100=0.92372881355932*x       - we divide both sides of the equation by (0.92372881355932) to get x
100/0.92372881355932=x
108.25688073394=x
x=108.25688073394

now we have:
47.2 is 108.25688073394% of 43.6