335.67 is what percent of 3814.75 - 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 3814.75 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 3814.75, so we can write it down as 100%=3814.75.
4. We know, that x% equals 335.67 of the output value, so we can write it down as x%=335.67.
5. Now we have two simple equations:
1) 100%=3814.75
2) x%=335.67
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%=3814.75/335.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 335.67 is what percent of 3814.75

100%/x%=3814.75/335.67
(100/x)*x=(3814.75/335.67)*x       - we multiply both sides of the equation by x
100=11.364584264307*x       - we divide both sides of the equation by (11.364584264307) to get x
100/11.364584264307=x
8.7992660069467=x
x=8.7992660069467

now we have:
335.67 is 8.7992660069467% of 3814.75