What is 25% of 150 explain how you know that 50 is a part or a

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To get the solution, we are looking for, we need to point out what we know. 

1. We assume, that the number 150 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 150, so we can write it down as 100%=150. 
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%=150
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%=150/25
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 150

100%/x%=150/25
(100/x)*x=(150/25)*x       - we multiply both sides of the equation by x
100=6*x       - we divide both sides of the equation by (6) to get x
100/6=x 
16.6666666667=x 
x=16.6666666667

now we have: 
25 is 16.6666666667% of 150


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