80.3 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 80.3 of the output value, so we can write it down as x%=80.3.
5. Now we have two simple equations:
1) 100%=6
2) x%=80.3
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%=6/80.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.3 is what percent of 6

100%/x%=6/80.3
(100/x)*x=(6/80.3)*x       - we multiply both sides of the equation by x
100=0.074719800747198*x       - we divide both sides of the equation by (0.074719800747198) to get x
100/0.074719800747198=x
1338.3333333333=x
x=1338.3333333333

now we have:
80.3 is 1338.3333333333% of 6