4.5 is what percent of 8.9975 - 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 8.9975 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 8.9975, so we can write it down as 100%=8.9975.
4. We know, that x% equals 4.5 of the output value, so we can write it down as x%=4.5.
5. Now we have two simple equations:
1) 100%=8.9975
2) x%=4.5
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%=8.9975/4.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.5 is what percent of 8.9975

100%/x%=8.9975/4.5
(100/x)*x=(8.9975/4.5)*x       - we multiply both sides of the equation by x
100=1.9994444444444*x       - we divide both sides of the equation by (1.9994444444444) to get x
100/1.9994444444444=x
50.013892747986=x
x=50.013892747986

now we have:
4.5 is 50.013892747986% of 8.9975