78 is what percent of 1073 - 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 1073 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 1073, so we can write it down as 100%=1073.
4. We know, that x% equals 78 of the output value, so we can write it down as x%=78.
5. Now we have two simple equations:
1) 100%=1073
2) x%=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%=1073/78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78 is what percent of 1073

100%/x%=1073/78
(100/x)*x=(1073/78)*x       - we multiply both sides of the equation by x
100=13.75641025641*x       - we divide both sides of the equation by (13.75641025641) to get x
100/13.75641025641=x
7.2693383038211=x
x=7.2693383038211

now we have:
78 is 7.2693383038211% of 1073