67 is what percent of 2517 - 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 2517 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 2517, so we can write it down as 100%=2517.
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%=2517
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%=2517/67
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 2517

100%/x%=2517/67
(100/x)*x=(2517/67)*x       - we multiply both sides of the equation by x
100=37.567164179104*x       - we divide both sides of the equation by (37.567164179104) to get x
100/37.567164179104=x
2.6618990862137=x
x=2.6618990862137

now we have:
67 is 2.6618990862137% of 2517