What is 25.82 percent of 150 - 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 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 150 is 100%, so we can write it down as 150=100%.
4. We know, that x is 25.82% of the output value, so we can write it down as x=25.82%.
5. Now we have two simple equations:
1) 150=100%
2) x=25.82%
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:
150/x=100%/25.82%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 25.82% of 150

150/x=100/25.82
(150/x)*x=(100/25.82)*x       - we multiply both sides of the equation by x
150=3.8729666924864*x       - we divide both sides of the equation by (3.8729666924864) to get x
150/3.8729666924864=x
38.73=x
x=38.73

now we have:
25.82% of 150=38.73