780 is what percent of 7 - 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 7 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 7, so we can write it down as 100%=7.
4. We know, that x% equals 780 of the output value, so we can write it down as x%=780.
5. Now we have two simple equations:
1) 100%=7
2) x%=780
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%=7/780
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 780 is what percent of 7

100%/x%=7/780
(100/x)*x=(7/780)*x       - we multiply both sides of the equation by x
100=0.008974358974359*x       - we divide both sides of the equation by (0.008974358974359) to get x
100/0.008974358974359=x
11142.857142857=x
x=11142.857142857

now we have:
780 is 11142.857142857% of 7