77 is what percent of 306 - 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 306 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 306, so we can write it down as 100%=306.
4. We know, that x% equals 77 of the output value, so we can write it down as x%=77.
5. Now we have two simple equations:
1) 100%=306
2) x%=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%=306/77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77 is what percent of 306

100%/x%=306/77
(100/x)*x=(306/77)*x       - we multiply both sides of the equation by x
100=3.974025974026*x       - we divide both sides of the equation by (3.974025974026) to get x
100/3.974025974026=x
25.16339869281=x
x=25.16339869281

now we have:
77 is 25.16339869281% of 306