25 is what percent of 19.33 - 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 19.33 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 19.33, so we can write it down as 100%=19.33.
4. We know, that x% equals 25 of the output value, so we can write it down as x%=25.
5. Now we have two simple equations:
1) 100%=19.33
2) x%=25
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%=19.33/25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25 is what percent of 19.33

100%/x%=19.33/25
(100/x)*x=(19.33/25)*x       - we multiply both sides of the equation by x
100=0.7732*x       - we divide both sides of the equation by (0.7732) to get x
100/0.7732=x
129.33264355923=x
x=129.33264355923

now we have:
25 is 129.33264355923% of 19.33