6 is what percent of 3489 - 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 3489 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 3489, so we can write it down as 100%=3489.
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%=3489
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%=3489/6
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 3489

100%/x%=3489/6
(100/x)*x=(3489/6)*x       - we multiply both sides of the equation by x
100=581.5*x       - we divide both sides of the equation by (581.5) to get x
100/581.5=x
0.1719690455718=x
x=0.1719690455718

now we have:
6 is 0.1719690455718% of 3489