342.72 is what percent of 6102 - 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 6102 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 6102, so we can write it down as 100%=6102.
4. We know, that x% equals 342.72 of the output value, so we can write it down as x%=342.72.
5. Now we have two simple equations:
1) 100%=6102
2) x%=342.72
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%=6102/342.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 342.72 is what percent of 6102

100%/x%=6102/342.72
(100/x)*x=(6102/342.72)*x       - we multiply both sides of the equation by x
100=17.804621848739*x       - we divide both sides of the equation by (17.804621848739) to get x
100/17.804621848739=x
5.6165191740413=x
x=5.6165191740413

now we have:
342.72 is 5.6165191740413% of 6102