6 is what percent of 3.13 - 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 3.13 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 3.13, so we can write it down as 100%=3.13.
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%=3.13
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%=3.13/6
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 3.13

100%/x%=3.13/6
(100/x)*x=(3.13/6)*x       - we multiply both sides of the equation by x
100=0.52166666666667*x       - we divide both sides of the equation by (0.52166666666667) to get x
100/0.52166666666667=x
191.69329073482=x
x=191.69329073482

now we have:
6 is 191.69329073482% of 3.13