4.545 is what percent of 4 - 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 4 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 4, so we can write it down as 100%=4.
4. We know, that x% equals 4.545 of the output value, so we can write it down as x%=4.545.
5. Now we have two simple equations:
1) 100%=4
2) x%=4.545
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%=4/4.545
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.545 is what percent of 4

100%/x%=4/4.545
(100/x)*x=(4/4.545)*x       - we multiply both sides of the equation by x
100=0.88008800880088*x       - we divide both sides of the equation by (0.88008800880088) to get x
100/0.88008800880088=x
113.625=x
x=113.625

now we have:
4.545 is 113.625% of 4