44.2 is what percent of 75.3 - 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 75.3 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 75.3, so we can write it down as 100%=75.3.
4. We know, that x% equals 44.2 of the output value, so we can write it down as x%=44.2.
5. Now we have two simple equations:
1) 100%=75.3
2) x%=44.2
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%=75.3/44.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.2 is what percent of 75.3

100%/x%=75.3/44.2
(100/x)*x=(75.3/44.2)*x       - we multiply both sides of the equation by x
100=1.7036199095023*x       - we divide both sides of the equation by (1.7036199095023) to get x
100/1.7036199095023=x
58.698539176627=x
x=58.698539176627

now we have:
44.2 is 58.698539176627% of 75.3