25.29 is what percent of 33.65 - 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 33.65 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 33.65, so we can write it down as 100%=33.65.
4. We know, that x% equals 25.29 of the output value, so we can write it down as x%=25.29.
5. Now we have two simple equations:
1) 100%=33.65
2) x%=25.29
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%=33.65/25.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.29 is what percent of 33.65

100%/x%=33.65/25.29
(100/x)*x=(33.65/25.29)*x       - we multiply both sides of the equation by x
100=1.3305654408857*x       - we divide both sides of the equation by (1.3305654408857) to get x
100/1.3305654408857=x
75.156017830609=x
x=75.156017830609

now we have:
25.29 is 75.156017830609% of 33.65