28.58 is what percent of 44.99 - 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 44.99 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 44.99, so we can write it down as 100%=44.99.
4. We know, that x% equals 28.58 of the output value, so we can write it down as x%=28.58.
5. Now we have two simple equations:
1) 100%=44.99
2) x%=28.58
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%=44.99/28.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.58 is what percent of 44.99

100%/x%=44.99/28.58
(100/x)*x=(44.99/28.58)*x       - we multiply both sides of the equation by x
100=1.574177746676*x       - we divide both sides of the equation by (1.574177746676) to get x
100/1.574177746676=x
63.525227828406=x
x=63.525227828406

now we have:
28.58 is 63.525227828406% of 44.99