349.49 is what percent of 2602.18 - 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 2602.18 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 2602.18, so we can write it down as 100%=2602.18.
4. We know, that x% equals 349.49 of the output value, so we can write it down as x%=349.49.
5. Now we have two simple equations:
1) 100%=2602.18
2) x%=349.49
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%=2602.18/349.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 349.49 is what percent of 2602.18

100%/x%=2602.18/349.49
(100/x)*x=(2602.18/349.49)*x       - we multiply both sides of the equation by x
100=7.4456493748033*x       - we divide both sides of the equation by (7.4456493748033) to get x
100/7.4456493748033=x
13.430661983414=x
x=13.430661983414

now we have:
349.49 is 13.430661983414% of 2602.18