What is 40.45 percent of 45.65 - 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 45.65 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 45.65 is 100%, so we can write it down as 45.65=100%.
4. We know, that x is 40.45% of the output value, so we can write it down as x=40.45%.
5. Now we have two simple equations:
1) 45.65=100%
2) x=40.45%
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:
45.65/x=100%/40.45%
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 40.45% of 45.65

45.65/x=100/40.45
(45.65/x)*x=(100/40.45)*x       - we multiply both sides of the equation by x
45.65=2.4721878862794*x       - we divide both sides of the equation by (2.4721878862794) to get x
45.65/2.4721878862794=x
18.465425=x
x=18.465425

now we have:
40.45% of 45.65=18.465425