77.75 is what percent of 300 - 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 300 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 300, so we can write it down as 100%=300.
4. We know, that x% equals 77.75 of the output value, so we can write it down as x%=77.75.
5. Now we have two simple equations:
1) 100%=300
2) x%=77.75
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%=300/77.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.75 is what percent of 300

100%/x%=300/77.75
(100/x)*x=(300/77.75)*x       - we multiply both sides of the equation by x
100=3.8585209003215*x       - we divide both sides of the equation by (3.8585209003215) to get x
100/3.8585209003215=x
25.916666666667=x
x=25.916666666667

now we have:
77.75 is 25.916666666667% of 300