4.09 is what percent of 4.5 - 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 4.5 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 4.5, so we can write it down as 100%=4.5.
4. We know, that x% equals 4.09 of the output value, so we can write it down as x%=4.09.
5. Now we have two simple equations:
1) 100%=4.5
2) x%=4.09
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%=4.5/4.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.09 is what percent of 4.5

100%/x%=4.5/4.09
(100/x)*x=(4.5/4.09)*x       - we multiply both sides of the equation by x
100=1.1002444987775*x       - we divide both sides of the equation by (1.1002444987775) to get x
100/1.1002444987775=x
90.888888888889=x
x=90.888888888889

now we have:
4.09 is 90.888888888889% of 4.5