4.96 is what percent of 4.52 - 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 4.52 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 4.52, so we can write it down as 100%=4.52.
4. We know, that x% equals 4.96 of the output value, so we can write it down as x%=4.96.
5. Now we have two simple equations:
1) 100%=4.52
2) x%=4.96
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%=4.52/4.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.96 is what percent of 4.52

100%/x%=4.52/4.96
(100/x)*x=(4.52/4.96)*x       - we multiply both sides of the equation by x
100=0.91129032258065*x       - we divide both sides of the equation by (0.91129032258065) to get x
100/0.91129032258065=x
109.73451327434=x
x=109.73451327434

now we have:
4.96 is 109.73451327434% of 4.52