1225.65 is what percent of 12795.77 - 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 12795.77 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 12795.77, so we can write it down as 100%=12795.77.
4. We know, that x% equals 1225.65 of the output value, so we can write it down as x%=1225.65.
5. Now we have two simple equations:
1) 100%=12795.77
2) x%=1225.65
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%=12795.77/1225.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1225.65 is what percent of 12795.77

100%/x%=12795.77/1225.65
(100/x)*x=(12795.77/1225.65)*x       - we multiply both sides of the equation by x
100=10.439986945702*x       - we divide both sides of the equation by (10.439986945702) to get x
100/10.439986945702=x
9.5785560384408=x
x=9.5785560384408

now we have:
1225.65 is 9.5785560384408% of 12795.77