What is 45.3 percent of 10 - 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 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 is 100%, so we can write it down as 10=100%.
4. We know, that x is 45.3% of the output value, so we can write it down as x=45.3%.
5. Now we have two simple equations:
1) 10=100%
2) x=45.3%
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:
10/x=100%/45.3%
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 45.3% of 10

10/x=100/45.3
(10/x)*x=(100/45.3)*x       - we multiply both sides of the equation by x
10=2.2075055187638*x       - we divide both sides of the equation by (2.2075055187638) to get x
10/2.2075055187638=x
4.53=x
x=4.53

now we have:
45.3% of 10=4.53