25 is what percent of 69.98 - 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 69.98 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 69.98, so we can write it down as 100%=69.98.
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%=69.98
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%=69.98/25
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 69.98

100%/x%=69.98/25
(100/x)*x=(69.98/25)*x       - we multiply both sides of the equation by x
100=2.7992*x       - we divide both sides of the equation by (2.7992) to get x
100/2.7992=x
35.724492712203=x
x=35.724492712203

now we have:
25 is 35.724492712203% of 69.98