735.16 is what percent of 10745.16 - 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 10745.16 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 100% equals 10745.16, so we can write it down as 100%=10745.16.
4. We know, that x% equals 735.16 of the output value, so we can write it down as x%=735.16.
5. Now we have two simple equations:
1) 100%=10745.16
2) x%=735.16
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:
100%/x%=10745.16/735.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 735.16 is what percent of 10745.16

100%/x%=10745.16/735.16
(100/x)*x=(10745.16/735.16)*x       - we multiply both sides of the equation by x
100=14.616083573644*x       - we divide both sides of the equation by (14.616083573644) to get x
100/14.616083573644=x
6.8417780656593=x
x=6.8417780656593

now we have:
735.16 is 6.8417780656593% of 10745.16