What is 24.2 percent of 726.25 - 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 726.25 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 726.25 is 100%, so we can write it down as 726.25=100%.
4. We know, that x is 24.2% of the output value, so we can write it down as x=24.2%.
5. Now we have two simple equations:
1) 726.25=100%
2) x=24.2%
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:
726.25/x=100%/24.2%
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 24.2% of 726.25

726.25/x=100/24.2
(726.25/x)*x=(100/24.2)*x       - we multiply both sides of the equation by x
726.25=4.1322314049587*x       - we divide both sides of the equation by (4.1322314049587) to get x
726.25/4.1322314049587=x
175.7525=x
x=175.7525

now we have:
24.2% of 726.25=175.7525