496.68 is what percent of 6693.96 - 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 6693.96 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 6693.96, so we can write it down as 100%=6693.96.
4. We know, that x% equals 496.68 of the output value, so we can write it down as x%=496.68.
5. Now we have two simple equations:
1) 100%=6693.96
2) x%=496.68
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%=6693.96/496.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 496.68 is what percent of 6693.96

100%/x%=6693.96/496.68
(100/x)*x=(6693.96/496.68)*x       - we multiply both sides of the equation by x
100=13.477410002416*x       - we divide both sides of the equation by (13.477410002416) to get x
100/13.477410002416=x
7.4198232436405=x
x=7.4198232436405

now we have:
496.68 is 7.4198232436405% of 6693.96