6 is what percent of 43.76 - 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 43.76 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 43.76, so we can write it down as 100%=43.76.
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%=43.76
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%=43.76/6
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 43.76

100%/x%=43.76/6
(100/x)*x=(43.76/6)*x       - we multiply both sides of the equation by x
100=7.2933333333333*x       - we divide both sides of the equation by (7.2933333333333) to get x
100/7.2933333333333=x
13.711151736746=x
x=13.711151736746

now we have:
6 is 13.711151736746% of 43.76