115.23 is what percent of 1623.27 - 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 1623.27 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 1623.27, so we can write it down as 100%=1623.27.
4. We know, that x% equals 115.23 of the output value, so we can write it down as x%=115.23.
5. Now we have two simple equations:
1) 100%=1623.27
2) x%=115.23
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%=1623.27/115.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 115.23 is what percent of 1623.27

100%/x%=1623.27/115.23
(100/x)*x=(1623.27/115.23)*x       - we multiply both sides of the equation by x
100=14.087216870607*x       - we divide both sides of the equation by (14.087216870607) to get x
100/14.087216870607=x
7.0986342382968=x
x=7.0986342382968

now we have:
115.23 is 7.0986342382968% of 1623.27