What is 29.41 percent of 254.16 - 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 254.16 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 254.16 is 100%, so we can write it down as 254.16=100%.
4. We know, that x is 29.41% of the output value, so we can write it down as x=29.41%.
5. Now we have two simple equations:
1) 254.16=100%
2) x=29.41%
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:
254.16/x=100%/29.41%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 29.41% of 254.16

254.16/x=100/29.41
(254.16/x)*x=(100/29.41)*x       - we multiply both sides of the equation by x
254.16=3.4002040122407*x       - we divide both sides of the equation by (3.4002040122407) to get x
254.16/3.4002040122407=x
74.748456=x
x=74.748456

now we have:
29.41% of 254.16=74.748456