646 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 646 of the output value, so we can write it down as x%=646.
5. Now we have two simple equations:
1) 100%=7
2) x%=646
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%=7/646
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 646 is what percent of 7

100%/x%=7/646
(100/x)*x=(7/646)*x       - we multiply both sides of the equation by x
100=0.010835913312693*x       - we divide both sides of the equation by (0.010835913312693) to get x
100/0.010835913312693=x
9228.5714285714=x
x=9228.5714285714

now we have:
646 is 9228.5714285714% of 7