66.8 is what percent of 246.4 - 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 246.4 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 246.4, so we can write it down as 100%=246.4.
4. We know, that x% equals 66.8 of the output value, so we can write it down as x%=66.8.
5. Now we have two simple equations:
1) 100%=246.4
2) x%=66.8
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%=246.4/66.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.8 is what percent of 246.4

100%/x%=246.4/66.8
(100/x)*x=(246.4/66.8)*x       - we multiply both sides of the equation by x
100=3.688622754491*x       - we divide both sides of the equation by (3.688622754491) to get x
100/3.688622754491=x
27.11038961039=x
x=27.11038961039

now we have:
66.8 is 27.11038961039% of 246.4