What is 14.8 percent of 45.4 - 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 45.4 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 45.4 is 100%, so we can write it down as 45.4=100%.
4. We know, that x is 14.8% of the output value, so we can write it down as x=14.8%.
5. Now we have two simple equations:
1) 45.4=100%
2) x=14.8%
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:
45.4/x=100%/14.8%
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 14.8% of 45.4

45.4/x=100/14.8
(45.4/x)*x=(100/14.8)*x       - we multiply both sides of the equation by x
45.4=6.7567567567568*x       - we divide both sides of the equation by (6.7567567567568) to get x
45.4/6.7567567567568=x
6.7192=x
x=6.7192

now we have:
14.8% of 45.4=6.7192