747.6 is what percent of 5050 - 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 5050 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 5050, so we can write it down as 100%=5050.
4. We know, that x% equals 747.6 of the output value, so we can write it down as x%=747.6.
5. Now we have two simple equations:
1) 100%=5050
2) x%=747.6
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%=5050/747.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 747.6 is what percent of 5050

100%/x%=5050/747.6
(100/x)*x=(5050/747.6)*x       - we multiply both sides of the equation by x
100=6.7549491706795*x       - we divide both sides of the equation by (6.7549491706795) to get x
100/6.7549491706795=x
14.80396039604=x
x=14.80396039604

now we have:
747.6 is 14.80396039604% of 5050