What is 5.75 percent of 254.96 - 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 254.96 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 254.96 is 100%, so we can write it down as 254.96=100%.
4. We know, that x is 5.75% of the output value, so we can write it down as x=5.75%.
5. Now we have two simple equations:
1) 254.96=100%
2) x=5.75%
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:
254.96/x=100%/5.75%
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 5.75% of 254.96

254.96/x=100/5.75
(254.96/x)*x=(100/5.75)*x       - we multiply both sides of the equation by x
254.96=17.391304347826*x       - we divide both sides of the equation by (17.391304347826) to get x
254.96/17.391304347826=x
14.6602=x
x=14.6602

now we have:
5.75% of 254.96=14.6602