349.52 is what percent of 4049.52 - 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 4049.52 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 4049.52, so we can write it down as 100%=4049.52.
4. We know, that x% equals 349.52 of the output value, so we can write it down as x%=349.52.
5. Now we have two simple equations:
1) 100%=4049.52
2) x%=349.52
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%=4049.52/349.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 349.52 is what percent of 4049.52

100%/x%=4049.52/349.52
(100/x)*x=(4049.52/349.52)*x       - we multiply both sides of the equation by x
100=11.585946440833*x       - we divide both sides of the equation by (11.585946440833) to get x
100/11.585946440833=x
8.6311464074755=x
x=8.6311464074755

now we have:
349.52 is 8.6311464074755% of 4049.52