6 is what percent of 5420 - 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 5420 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 5420, so we can write it down as 100%=5420.
4. We know, that x% equals 6 of the output value, so we can write it down as x%=6.
5. Now we have two simple equations:
1) 100%=5420
2) x%=6
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%=5420/6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6 is what percent of 5420

100%/x%=5420/6
(100/x)*x=(5420/6)*x       - we multiply both sides of the equation by x
100=903.33333333333*x       - we divide both sides of the equation by (903.33333333333) to get x
100/903.33333333333=x
0.11070110701107=x
x=0.11070110701107

now we have:
6 is 0.11070110701107% of 5420