44.75 is what percent of 79.5 - 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 79.5 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 79.5, so we can write it down as 100%=79.5.
4. We know, that x% equals 44.75 of the output value, so we can write it down as x%=44.75.
5. Now we have two simple equations:
1) 100%=79.5
2) x%=44.75
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%=79.5/44.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.75 is what percent of 79.5

100%/x%=79.5/44.75
(100/x)*x=(79.5/44.75)*x       - we multiply both sides of the equation by x
100=1.7765363128492*x       - we divide both sides of the equation by (1.7765363128492) to get x
100/1.7765363128492=x
56.289308176101=x
x=56.289308176101

now we have:
44.75 is 56.289308176101% of 79.5