246.7 is what percent of 6308.5 - 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 6308.5 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 6308.5, so we can write it down as 100%=6308.5.
4. We know, that x% equals 246.7 of the output value, so we can write it down as x%=246.7.
5. Now we have two simple equations:
1) 100%=6308.5
2) x%=246.7
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%=6308.5/246.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 246.7 is what percent of 6308.5

100%/x%=6308.5/246.7
(100/x)*x=(6308.5/246.7)*x       - we multiply both sides of the equation by x
100=25.571544385894*x       - we divide both sides of the equation by (25.571544385894) to get x
100/25.571544385894=x
3.9105968138226=x
x=3.9105968138226

now we have:
246.7 is 3.9105968138226% of 6308.5