44.5 is what percent of 59.5 - 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 59.5 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 59.5, so we can write it down as 100%=59.5.
4. We know, that x% equals 44.5 of the output value, so we can write it down as x%=44.5.
5. Now we have two simple equations:
1) 100%=59.5
2) x%=44.5
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%=59.5/44.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.5 is what percent of 59.5

100%/x%=59.5/44.5
(100/x)*x=(59.5/44.5)*x       - we multiply both sides of the equation by x
100=1.3370786516854*x       - we divide both sides of the equation by (1.3370786516854) to get x
100/1.3370786516854=x
74.789915966387=x
x=74.789915966387

now we have:
44.5 is 74.789915966387% of 59.5