44.7 is what percent of 75 - 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 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, so we can write it down as 100%=75.
4. We know, that x% equals 44.7 of the output value, so we can write it down as x%=44.7.
5. Now we have two simple equations:
1) 100%=75
2) x%=44.7
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%=75/44.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.7 is what percent of 75

100%/x%=75/44.7
(100/x)*x=(75/44.7)*x       - we multiply both sides of the equation by x
100=1.6778523489933*x       - we divide both sides of the equation by (1.6778523489933) to get x
100/1.6778523489933=x
59.6=x
x=59.6

now we have:
44.7 is 59.6% of 75