What is 14.48 percent of 709.62 - 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 709.62 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 709.62 is 100%, so we can write it down as 709.62=100%.
4. We know, that x is 14.48% of the output value, so we can write it down as x=14.48%.
5. Now we have two simple equations:
1) 709.62=100%
2) x=14.48%
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:
709.62/x=100%/14.48%
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 14.48% of 709.62

709.62/x=100/14.48
(709.62/x)*x=(100/14.48)*x       - we multiply both sides of the equation by x
709.62=6.9060773480663*x       - we divide both sides of the equation by (6.9060773480663) to get x
709.62/6.9060773480663=x
102.752976=x
x=102.752976

now we have:
14.48% of 709.62=102.752976