6 is what percent of 10460 - 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 10460 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 10460, so we can write it down as 100%=10460.
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%=10460
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%=10460/6
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 10460

100%/x%=10460/6
(100/x)*x=(10460/6)*x       - we multiply both sides of the equation by x
100=1743.3333333333*x       - we divide both sides of the equation by (1743.3333333333) to get x
100/1743.3333333333=x
0.05736137667304=x
x=0.05736137667304

now we have:
6 is 0.05736137667304% of 10460