0.78 is what percent of 9.73 - 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 9.73 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 9.73, so we can write it down as 100%=9.73.
4. We know, that x% equals 0.78 of the output value, so we can write it down as x%=0.78.
5. Now we have two simple equations:
1) 100%=9.73
2) x%=0.78
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%=9.73/0.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.78 is what percent of 9.73

100%/x%=9.73/0.78
(100/x)*x=(9.73/0.78)*x       - we multiply both sides of the equation by x
100=12.474358974359*x       - we divide both sides of the equation by (12.474358974359) to get x
100/12.474358974359=x
8.016443987667=x
x=8.016443987667

now we have:
0.78 is 8.016443987667% of 9.73