What is 21.23 percent of 10.2 - 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 10.2 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 10.2 is 100%, so we can write it down as 10.2=100%.
4. We know, that x is 21.23% of the output value, so we can write it down as x=21.23%.
5. Now we have two simple equations:
1) 10.2=100%
2) x=21.23%
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:
10.2/x=100%/21.23%
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 21.23% of 10.2

10.2/x=100/21.23
(10.2/x)*x=(100/21.23)*x       - we multiply both sides of the equation by x
10.2=4.7103155911446*x       - we divide both sides of the equation by (4.7103155911446) to get x
10.2/4.7103155911446=x
2.16546=x
x=2.16546

now we have:
21.23% of 10.2=2.16546