335.27 is what percent of 381.16 - 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 381.16 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 381.16, so we can write it down as 100%=381.16.
4. We know, that x% equals 335.27 of the output value, so we can write it down as x%=335.27.
5. Now we have two simple equations:
1) 100%=381.16
2) x%=335.27
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%=381.16/335.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 335.27 is what percent of 381.16

100%/x%=381.16/335.27
(100/x)*x=(381.16/335.27)*x       - we multiply both sides of the equation by x
100=1.136874757658*x       - we divide both sides of the equation by (1.136874757658) to get x
100/1.136874757658=x
87.960436562074=x
x=87.960436562074

now we have:
335.27 is 87.960436562074% of 381.16