6 is what percent of 3451 - 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 3451 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 3451, so we can write it down as 100%=3451.
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%=3451
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%=3451/6
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 3451

100%/x%=3451/6
(100/x)*x=(3451/6)*x       - we multiply both sides of the equation by x
100=575.16666666667*x       - we divide both sides of the equation by (575.16666666667) to get x
100/575.16666666667=x
0.17386264850768=x
x=0.17386264850768

now we have:
6 is 0.17386264850768% of 3451