78.77 is what percent of 661 - 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 661 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 661, so we can write it down as 100%=661.
4. We know, that x% equals 78.77 of the output value, so we can write it down as x%=78.77.
5. Now we have two simple equations:
1) 100%=661
2) x%=78.77
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%=661/78.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.77 is what percent of 661

100%/x%=661/78.77
(100/x)*x=(661/78.77)*x       - we multiply both sides of the equation by x
100=8.3915196140663*x       - we divide both sides of the equation by (8.3915196140663) to get x
100/8.3915196140663=x
11.916792738275=x
x=11.916792738275

now we have:
78.77 is 11.916792738275% of 661