What is 71.25 percent of 702.4 - 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 702.4 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 702.4 is 100%, so we can write it down as 702.4=100%.
4. We know, that x is 71.25% of the output value, so we can write it down as x=71.25%.
5. Now we have two simple equations:
1) 702.4=100%
2) x=71.25%
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:
702.4/x=100%/71.25%
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 71.25% of 702.4

702.4/x=100/71.25
(702.4/x)*x=(100/71.25)*x       - we multiply both sides of the equation by x
702.4=1.4035087719298*x       - we divide both sides of the equation by (1.4035087719298) to get x
702.4/1.4035087719298=x
500.46=x
x=500.46

now we have:
71.25% of 702.4=500.46