338.66 is what percent of 6875.62 - 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 6875.62 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 6875.62, so we can write it down as 100%=6875.62.
4. We know, that x% equals 338.66 of the output value, so we can write it down as x%=338.66.
5. Now we have two simple equations:
1) 100%=6875.62
2) x%=338.66
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%=6875.62/338.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 338.66 is what percent of 6875.62

100%/x%=6875.62/338.66
(100/x)*x=(6875.62/338.66)*x       - we multiply both sides of the equation by x
100=20.302427213134*x       - we divide both sides of the equation by (20.302427213134) to get x
100/20.302427213134=x
4.9255194440647=x
x=4.9255194440647

now we have:
338.66 is 4.9255194440647% of 6875.62