4.49 is what percent of 4.64 - 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 4.64 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 4.64, so we can write it down as 100%=4.64.
4. We know, that x% equals 4.49 of the output value, so we can write it down as x%=4.49.
5. Now we have two simple equations:
1) 100%=4.64
2) x%=4.49
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%=4.64/4.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.49 is what percent of 4.64

100%/x%=4.64/4.49
(100/x)*x=(4.64/4.49)*x       - we multiply both sides of the equation by x
100=1.0334075723831*x       - we divide both sides of the equation by (1.0334075723831) to get x
100/1.0334075723831=x
96.76724137931=x
x=96.76724137931

now we have:
4.49 is 96.76724137931% of 4.64