77 is what percent of 30110 - 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 30110 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 30110, so we can write it down as 100%=30110.
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%=30110
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%=30110/77
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 30110

100%/x%=30110/77
(100/x)*x=(30110/77)*x       - we multiply both sides of the equation by x
100=391.03896103896*x       - we divide both sides of the equation by (391.03896103896) to get x
100/391.03896103896=x
0.2557289936898=x
x=0.2557289936898

now we have:
77 is 0.2557289936898% of 30110