What is 10.097 percent of 3490.88 - 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 3490.88 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 3490.88 is 100%, so we can write it down as 3490.88=100%.
4. We know, that x is 10.097% of the output value, so we can write it down as x=10.097%.
5. Now we have two simple equations:
1) 3490.88=100%
2) x=10.097%
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:
3490.88/x=100%/10.097%
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 10.097% of 3490.88

3490.88/x=100/10.097
(3490.88/x)*x=(100/10.097)*x       - we multiply both sides of the equation by x
3490.88=9.9039318609488*x       - we divide both sides of the equation by (9.9039318609488) to get x
3490.88/9.9039318609488=x
352.4741536=x
x=352.4741536

now we have:
10.097% of 3490.88=352.4741536