13.23 is what percent of 25.94 - 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 25.94 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 25.94, so we can write it down as 100%=25.94.
4. We know, that x% equals 13.23 of the output value, so we can write it down as x%=13.23.
5. Now we have two simple equations:
1) 100%=25.94
2) x%=13.23
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%=25.94/13.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.23 is what percent of 25.94

100%/x%=25.94/13.23
(100/x)*x=(25.94/13.23)*x       - we multiply both sides of the equation by x
100=1.9606953892668*x       - we divide both sides of the equation by (1.9606953892668) to get x
100/1.9606953892668=x
51.002313030069=x
x=51.002313030069

now we have:
13.23 is 51.002313030069% of 25.94