67 is what percent of 2649 - 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 2649 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 2649, so we can write it down as 100%=2649.
4. We know, that x% equals 67 of the output value, so we can write it down as x%=67.
5. Now we have two simple equations:
1) 100%=2649
2) x%=67
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%=2649/67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67 is what percent of 2649

100%/x%=2649/67
(100/x)*x=(2649/67)*x       - we multiply both sides of the equation by x
100=39.537313432836*x       - we divide both sides of the equation by (39.537313432836) to get x
100/39.537313432836=x
2.5292563231408=x
x=2.5292563231408

now we have:
67 is 2.5292563231408% of 2649