What is 3.44 percent of 165.374 - 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 165.374 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 165.374 is 100%, so we can write it down as 165.374=100%.
4. We know, that x is 3.44% of the output value, so we can write it down as x=3.44%.
5. Now we have two simple equations:
1) 165.374=100%
2) x=3.44%
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:
165.374/x=100%/3.44%
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 3.44% of 165.374

165.374/x=100/3.44
(165.374/x)*x=(100/3.44)*x       - we multiply both sides of the equation by x
165.374=29.06976744186*x       - we divide both sides of the equation by (29.06976744186) to get x
165.374/29.06976744186=x
5.6888656=x
x=5.6888656

now we have:
3.44% of 165.374=5.6888656