42.07 is what percent of 44.2 - 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 44.2 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 44.2, so we can write it down as 100%=44.2.
4. We know, that x% equals 42.07 of the output value, so we can write it down as x%=42.07.
5. Now we have two simple equations:
1) 100%=44.2
2) x%=42.07
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%=44.2/42.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.07 is what percent of 44.2

100%/x%=44.2/42.07
(100/x)*x=(44.2/42.07)*x       - we multiply both sides of the equation by x
100=1.0506299025434*x       - we divide both sides of the equation by (1.0506299025434) to get x
100/1.0506299025434=x
95.180995475113=x
x=95.180995475113

now we have:
42.07 is 95.180995475113% of 44.2