6 is what percent of 4211 - 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 4211 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 4211, so we can write it down as 100%=4211.
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%=4211
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%=4211/6
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 4211

100%/x%=4211/6
(100/x)*x=(4211/6)*x       - we multiply both sides of the equation by x
100=701.83333333333*x       - we divide both sides of the equation by (701.83333333333) to get x
100/701.83333333333=x
0.14248397055331=x
x=0.14248397055331

now we have:
6 is 0.14248397055331% of 4211