5.05 is what percent of 6 - 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 6 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 6, so we can write it down as 100%=6.
4. We know, that x% equals 5.05 of the output value, so we can write it down as x%=5.05.
5. Now we have two simple equations:
1) 100%=6
2) x%=5.05
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%=6/5.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.05 is what percent of 6

100%/x%=6/5.05
(100/x)*x=(6/5.05)*x       - we multiply both sides of the equation by x
100=1.1881188118812*x       - we divide both sides of the equation by (1.1881188118812) to get x
100/1.1881188118812=x
84.166666666667=x
x=84.166666666667

now we have:
5.05 is 84.166666666667% of 6