2.35 is what percent of 4.55 - 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 4.55 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 4.55, so we can write it down as 100%=4.55.
4. We know, that x% equals 2.35 of the output value, so we can write it down as x%=2.35.
5. Now we have two simple equations:
1) 100%=4.55
2) x%=2.35
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%=4.55/2.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.35 is what percent of 4.55

100%/x%=4.55/2.35
(100/x)*x=(4.55/2.35)*x       - we multiply both sides of the equation by x
100=1.936170212766*x       - we divide both sides of the equation by (1.936170212766) to get x
100/1.936170212766=x
51.648351648352=x
x=51.648351648352

now we have:
2.35 is 51.648351648352% of 4.55