78 is what percent of 778 - 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 778 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 778, so we can write it down as 100%=778.
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%=778
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%=778/78
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 778

100%/x%=778/78
(100/x)*x=(778/78)*x       - we multiply both sides of the equation by x
100=9.974358974359*x       - we divide both sides of the equation by (9.974358974359) to get x
100/9.974358974359=x
10.025706940874=x
x=10.025706940874

now we have:
78 is 10.025706940874% of 778