What is 69.75 percent of 20.25 - 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 20.25 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 20.25 is 100%, so we can write it down as 20.25=100%.
4. We know, that x is 69.75% of the output value, so we can write it down as x=69.75%.
5. Now we have two simple equations:
1) 20.25=100%
2) x=69.75%
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:
20.25/x=100%/69.75%
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 69.75% of 20.25

20.25/x=100/69.75
(20.25/x)*x=(100/69.75)*x       - we multiply both sides of the equation by x
20.25=1.4336917562724*x       - we divide both sides of the equation by (1.4336917562724) to get x
20.25/1.4336917562724=x
14.124375=x
x=14.124375

now we have:
69.75% of 20.25=14.124375