4.54 is what percent of 9.05 - 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 9.05 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 9.05, so we can write it down as 100%=9.05.
4. We know, that x% equals 4.54 of the output value, so we can write it down as x%=4.54.
5. Now we have two simple equations:
1) 100%=9.05
2) x%=4.54
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%=9.05/4.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.54 is what percent of 9.05

100%/x%=9.05/4.54
(100/x)*x=(9.05/4.54)*x       - we multiply both sides of the equation by x
100=1.9933920704846*x       - we divide both sides of the equation by (1.9933920704846) to get x
100/1.9933920704846=x
50.165745856354=x
x=50.165745856354

now we have:
4.54 is 50.165745856354% of 9.05