41.85 is what percent of 334.21 - 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 334.21 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 334.21, so we can write it down as 100%=334.21.
4. We know, that x% equals 41.85 of the output value, so we can write it down as x%=41.85.
5. Now we have two simple equations:
1) 100%=334.21
2) x%=41.85
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%=334.21/41.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.85 is what percent of 334.21

100%/x%=334.21/41.85
(100/x)*x=(334.21/41.85)*x       - we multiply both sides of the equation by x
100=7.9859020310633*x       - we divide both sides of the equation by (7.9859020310633) to get x
100/7.9859020310633=x
12.522066963885=x
x=12.522066963885

now we have:
41.85 is 12.522066963885% of 334.21