8.57 is what percent of 44.97 - 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 44.97 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 44.97, so we can write it down as 100%=44.97.
4. We know, that x% equals 8.57 of the output value, so we can write it down as x%=8.57.
5. Now we have two simple equations:
1) 100%=44.97
2) x%=8.57
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%=44.97/8.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.57 is what percent of 44.97

100%/x%=44.97/8.57
(100/x)*x=(44.97/8.57)*x       - we multiply both sides of the equation by x
100=5.2473745624271*x       - we divide both sides of the equation by (5.2473745624271) to get x
100/5.2473745624271=x
19.057149210585=x
x=19.057149210585

now we have:
8.57 is 19.057149210585% of 44.97