What is 25 percent of 464.69 - 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 464.69 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 464.69 is 100%, so we can write it down as 464.69=100%.
4. We know, that x is 25% of the output value, so we can write it down as x=25%.
5. Now we have two simple equations:
1) 464.69=100%
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:
464.69/x=100%/25%
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% of 464.69

464.69/x=100/25
(464.69/x)*x=(100/25)*x       - we multiply both sides of the equation by x
464.69=4*x       - we divide both sides of the equation by (4) to get x
464.69/4=x
116.1725=x
x=116.1725

now we have:
25% of 464.69=116.1725