What is 5.75 percent of 82.25 - 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 82.25 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 82.25 is 100%, so we can write it down as 82.25=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) 82.25=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:
82.25/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 82.25

82.25/x=100/5.75
(82.25/x)*x=(100/5.75)*x       - we multiply both sides of the equation by x
82.25=17.391304347826*x       - we divide both sides of the equation by (17.391304347826) to get x
82.25/17.391304347826=x
4.729375=x
x=4.729375

now we have:
5.75% of 82.25=4.729375