2427.5 is what percent of 4728 - 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 4728 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 4728, so we can write it down as 100%=4728.
4. We know, that x% equals 2427.5 of the output value, so we can write it down as x%=2427.5.
5. Now we have two simple equations:
1) 100%=4728
2) x%=2427.5
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%=4728/2427.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2427.5 is what percent of 4728

100%/x%=4728/2427.5
(100/x)*x=(4728/2427.5)*x       - we multiply both sides of the equation by x
100=1.9476828012358*x       - we divide both sides of the equation by (1.9476828012358) to get x
100/1.9476828012358=x
51.343062605753=x
x=51.343062605753

now we have:
2427.5 is 51.343062605753% of 4728