67 is what percent of 106.5 - 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 106.5 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 106.5, so we can write it down as 100%=106.5.
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%=106.5
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%=106.5/67
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 106.5

100%/x%=106.5/67
(100/x)*x=(106.5/67)*x       - we multiply both sides of the equation by x
100=1.589552238806*x       - we divide both sides of the equation by (1.589552238806) to get x
100/1.589552238806=x
62.910798122066=x
x=62.910798122066

now we have:
67 is 62.910798122066% of 106.5