246.62 is what percent of 6775 - 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 6775 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 6775, so we can write it down as 100%=6775.
4. We know, that x% equals 246.62 of the output value, so we can write it down as x%=246.62.
5. Now we have two simple equations:
1) 100%=6775
2) x%=246.62
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%=6775/246.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 246.62 is what percent of 6775

100%/x%=6775/246.62
(100/x)*x=(6775/246.62)*x       - we multiply both sides of the equation by x
100=27.471413510664*x       - we divide both sides of the equation by (27.471413510664) to get x
100/27.471413510664=x
3.640147601476=x
x=3.640147601476

now we have:
246.62 is 3.640147601476% of 6775