25 is what percent of 142.001 - 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 142.001 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 142.001, so we can write it down as 100%=142.001.
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%=142.001
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%=142.001/25
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 142.001

100%/x%=142.001/25
(100/x)*x=(142.001/25)*x       - we multiply both sides of the equation by x
100=5.68004*x       - we divide both sides of the equation by (5.68004) to get x
100/5.68004=x
17.605509820353=x
x=17.605509820353

now we have:
25 is 17.605509820353% of 142.001