520 is what percent of 6 - 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 6 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 6, so we can write it down as 100%=6.
4. We know, that x% equals 520 of the output value, so we can write it down as x%=520.
5. Now we have two simple equations:
1) 100%=6
2) x%=520
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%=6/520
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 520 is what percent of 6

100%/x%=6/520
(100/x)*x=(6/520)*x       - we multiply both sides of the equation by x
100=0.011538461538462*x       - we divide both sides of the equation by (0.011538461538462) to get x
100/0.011538461538462=x
8666.6666666667=x
x=8666.6666666667

now we have:
520 is 8666.6666666667% of 6