What is 21.3 percent of 45.2 - 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 45.2 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 45.2 is 100%, so we can write it down as 45.2=100%.
4. We know, that x is 21.3% of the output value, so we can write it down as x=21.3%.
5. Now we have two simple equations:
1) 45.2=100%
2) x=21.3%
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:
45.2/x=100%/21.3%
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 21.3% of 45.2

45.2/x=100/21.3
(45.2/x)*x=(100/21.3)*x       - we multiply both sides of the equation by x
45.2=4.6948356807512*x       - we divide both sides of the equation by (4.6948356807512) to get x
45.2/4.6948356807512=x
9.6276=x
x=9.6276

now we have:
21.3% of 45.2=9.6276