348.72 is what percent of 4575.73 - 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 4575.73 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 4575.73, so we can write it down as 100%=4575.73.
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%=4575.73
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%=4575.73/348.72
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 4575.73

100%/x%=4575.73/348.72
(100/x)*x=(4575.73/348.72)*x       - we multiply both sides of the equation by x
100=13.121501491168*x       - we divide both sides of the equation by (13.121501491168) to get x
100/13.121501491168=x
7.6210790409399=x
x=7.6210790409399

now we have:
348.72 is 7.6210790409399% of 4575.73