413 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 413 of the output value, so we can write it down as x%=413.
5. Now we have two simple equations:
1) 100%=6
2) x%=413
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%=6/413
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 413 is what percent of 6

100%/x%=6/413
(100/x)*x=(6/413)*x       - we multiply both sides of the equation by x
100=0.01452784503632*x       - we divide both sides of the equation by (0.01452784503632) to get x
100/0.01452784503632=x
6883.3333333333=x
x=6883.3333333333

now we have:
413 is 6883.3333333333% of 6