6 is what percent of 8.46 - 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 8.46 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 8.46, so we can write it down as 100%=8.46.
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%=8.46
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%=8.46/6
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 8.46

100%/x%=8.46/6
(100/x)*x=(8.46/6)*x       - we multiply both sides of the equation by x
100=1.41*x       - we divide both sides of the equation by (1.41) to get x
100/1.41=x
70.921985815603=x
x=70.921985815603

now we have:
6 is 70.921985815603% of 8.46