67 is what percent of 993.5 - 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 993.5 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 993.5, so we can write it down as 100%=993.5.
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%=993.5
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%=993.5/67
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 993.5

100%/x%=993.5/67
(100/x)*x=(993.5/67)*x       - we multiply both sides of the equation by x
100=14.828358208955*x       - we divide both sides of the equation by (14.828358208955) to get x
100/14.828358208955=x
6.7438349270257=x
x=6.7438349270257

now we have:
67 is 6.7438349270257% of 993.5