6 is what percent of 229.9 - 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 229.9 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 229.9, so we can write it down as 100%=229.9.
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%=229.9
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%=229.9/6
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 229.9

100%/x%=229.9/6
(100/x)*x=(229.9/6)*x       - we multiply both sides of the equation by x
100=38.316666666667*x       - we divide both sides of the equation by (38.316666666667) to get x
100/38.316666666667=x
2.6098303610265=x
x=2.6098303610265

now we have:
6 is 2.6098303610265% of 229.9