349.74 is what percent of 3481.6 - 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 3481.6 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 3481.6, so we can write it down as 100%=3481.6.
4. We know, that x% equals 349.74 of the output value, so we can write it down as x%=349.74.
5. Now we have two simple equations:
1) 100%=3481.6
2) x%=349.74
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%=3481.6/349.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 349.74 is what percent of 3481.6

100%/x%=3481.6/349.74
(100/x)*x=(3481.6/349.74)*x       - we multiply both sides of the equation by x
100=9.9548235832333*x       - we divide both sides of the equation by (9.9548235832333) to get x
100/9.9548235832333=x
10.045381433824=x
x=10.045381433824

now we have:
349.74 is 10.045381433824% of 3481.6