66.77 is what percent of 499 - 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 499 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 499, so we can write it down as 100%=499.
4. We know, that x% equals 66.77 of the output value, so we can write it down as x%=66.77.
5. Now we have two simple equations:
1) 100%=499
2) x%=66.77
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%=499/66.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.77 is what percent of 499

100%/x%=499/66.77
(100/x)*x=(499/66.77)*x       - we multiply both sides of the equation by x
100=7.4734162048824*x       - we divide both sides of the equation by (7.4734162048824) to get x
100/7.4734162048824=x
13.380761523046=x
x=13.380761523046

now we have:
66.77 is 13.380761523046% of 499