What is 3.475 percent of 1034.75 - 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 1034.75 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 1034.75 is 100%, so we can write it down as 1034.75=100%.
4. We know, that x is 3.475% of the output value, so we can write it down as x=3.475%.
5. Now we have two simple equations:
1) 1034.75=100%
2) x=3.475%
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:
1034.75/x=100%/3.475%
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 3.475% of 1034.75

1034.75/x=100/3.475
(1034.75/x)*x=(100/3.475)*x       - we multiply both sides of the equation by x
1034.75=28.776978417266*x       - we divide both sides of the equation by (28.776978417266) to get x
1034.75/28.776978417266=x
35.9575625=x
x=35.9575625

now we have:
3.475% of 1034.75=35.9575625