What is 25.7 percent of 180.4 - 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 180.4 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 180.4 is 100%, so we can write it down as 180.4=100%.
4. We know, that x is 25.7% of the output value, so we can write it down as x=25.7%.
5. Now we have two simple equations:
1) 180.4=100%
2) x=25.7%
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:
180.4/x=100%/25.7%
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 25.7% of 180.4

180.4/x=100/25.7
(180.4/x)*x=(100/25.7)*x       - we multiply both sides of the equation by x
180.4=3.89105058366*x       - we divide both sides of the equation by (3.89105058366) to get x
180.4/3.89105058366=x
46.3628=x
x=46.3628

now we have:
25.7% of 180.4=46.3628