6 is what percent of 1401 - 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 1401 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 1401, so we can write it down as 100%=1401.
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%=1401
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%=1401/6
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 1401

100%/x%=1401/6
(100/x)*x=(1401/6)*x       - we multiply both sides of the equation by x
100=233.5*x       - we divide both sides of the equation by (233.5) to get x
100/233.5=x
0.42826552462527=x
x=0.42826552462527

now we have:
6 is 0.42826552462527% of 1401