25.01 is what percent of 175.03 - 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 175.03 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 175.03, so we can write it down as 100%=175.03.
4. We know, that x% equals 25.01 of the output value, so we can write it down as x%=25.01.
5. Now we have two simple equations:
1) 100%=175.03
2) x%=25.01
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%=175.03/25.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.01 is what percent of 175.03

100%/x%=175.03/25.01
(100/x)*x=(175.03/25.01)*x       - we multiply both sides of the equation by x
100=6.9984006397441*x       - we divide both sides of the equation by (6.9984006397441) to get x
100/6.9984006397441=x
14.288979032166=x
x=14.288979032166

now we have:
25.01 is 14.288979032166% of 175.03