349.69 is what percent of 2685.61 - 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 2685.61 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 2685.61, so we can write it down as 100%=2685.61.
4. We know, that x% equals 349.69 of the output value, so we can write it down as x%=349.69.
5. Now we have two simple equations:
1) 100%=2685.61
2) x%=349.69
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%=2685.61/349.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 349.69 is what percent of 2685.61

100%/x%=2685.61/349.69
(100/x)*x=(2685.61/349.69)*x       - we multiply both sides of the equation by x
100=7.6799736909834*x       - we divide both sides of the equation by (7.6799736909834) to get x
100/7.6799736909834=x
13.020877938345=x
x=13.020877938345

now we have:
349.69 is 13.020877938345% of 2685.61