25 is what percent of 3.269 - 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 3.269 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 3.269, so we can write it down as 100%=3.269.
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%=3.269
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%=3.269/25
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 3.269

100%/x%=3.269/25
(100/x)*x=(3.269/25)*x       - we multiply both sides of the equation by x
100=0.13076*x       - we divide both sides of the equation by (0.13076) to get x
100/0.13076=x
764.75986540226=x
x=764.75986540226

now we have:
25 is 764.75986540226% of 3.269