262.97 is what percent of 2739.23 - 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 2739.23 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 2739.23, so we can write it down as 100%=2739.23.
4. We know, that x% equals 262.97 of the output value, so we can write it down as x%=262.97.
5. Now we have two simple equations:
1) 100%=2739.23
2) x%=262.97
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%=2739.23/262.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 262.97 is what percent of 2739.23

100%/x%=2739.23/262.97
(100/x)*x=(2739.23/262.97)*x       - we multiply both sides of the equation by x
100=10.416511389132*x       - we divide both sides of the equation by (10.416511389132) to get x
100/10.416511389132=x
9.6001431059093=x
x=9.6001431059093

now we have:
262.97 is 9.6001431059093% of 2739.23