What is 44.9 percent of 35.4 - 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 35.4 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 35.4 is 100%, so we can write it down as 35.4=100%.
4. We know, that x is 44.9% of the output value, so we can write it down as x=44.9%.
5. Now we have two simple equations:
1) 35.4=100%
2) x=44.9%
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:
35.4/x=100%/44.9%
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 44.9% of 35.4

35.4/x=100/44.9
(35.4/x)*x=(100/44.9)*x       - we multiply both sides of the equation by x
35.4=2.2271714922049*x       - we divide both sides of the equation by (2.2271714922049) to get x
35.4/2.2271714922049=x
15.8946=x
x=15.8946

now we have:
44.9% of 35.4=15.8946