348.72 is what percent of 4504.98 - 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 4504.98 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 4504.98, so we can write it down as 100%=4504.98.
4. We know, that x% equals 348.72 of the output value, so we can write it down as x%=348.72.
5. Now we have two simple equations:
1) 100%=4504.98
2) x%=348.72
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%=4504.98/348.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 348.72 is what percent of 4504.98

100%/x%=4504.98/348.72
(100/x)*x=(4504.98/348.72)*x       - we multiply both sides of the equation by x
100=12.918616655196*x       - we divide both sides of the equation by (12.918616655196) to get x
100/12.918616655196=x
7.7407668846477=x
x=7.7407668846477

now we have:
348.72 is 7.7407668846477% of 4504.98