15.4 is what percent of 77.28 - 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 77.28 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 77.28, so we can write it down as 100%=77.28.
4. We know, that x% equals 15.4 of the output value, so we can write it down as x%=15.4.
5. Now we have two simple equations:
1) 100%=77.28
2) x%=15.4
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%=77.28/15.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.4 is what percent of 77.28

100%/x%=77.28/15.4
(100/x)*x=(77.28/15.4)*x       - we multiply both sides of the equation by x
100=5.0181818181818*x       - we divide both sides of the equation by (5.0181818181818) to get x
100/5.0181818181818=x
19.927536231884=x
x=19.927536231884

now we have:
15.4 is 19.927536231884% of 77.28