What is 21.87 percent of 45.75 - 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 45.75 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 45.75 is 100%, so we can write it down as 45.75=100%.
4. We know, that x is 21.87% of the output value, so we can write it down as x=21.87%.
5. Now we have two simple equations:
1) 45.75=100%
2) x=21.87%
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:
45.75/x=100%/21.87%
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 21.87% of 45.75

45.75/x=100/21.87
(45.75/x)*x=(100/21.87)*x       - we multiply both sides of the equation by x
45.75=4.5724737082762*x       - we divide both sides of the equation by (4.5724737082762) to get x
45.75/4.5724737082762=x
10.005525=x
x=10.005525

now we have:
21.87% of 45.75=10.005525