25.98 is what percent of 172.5 - 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 172.5 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 172.5, so we can write it down as 100%=172.5.
4. We know, that x% equals 25.98 of the output value, so we can write it down as x%=25.98.
5. Now we have two simple equations:
1) 100%=172.5
2) x%=25.98
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%=172.5/25.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.98 is what percent of 172.5

100%/x%=172.5/25.98
(100/x)*x=(172.5/25.98)*x       - we multiply both sides of the equation by x
100=6.6397228637413*x       - we divide both sides of the equation by (6.6397228637413) to get x
100/6.6397228637413=x
15.060869565217=x
x=15.060869565217

now we have:
25.98 is 15.060869565217% of 172.5