What is 34.12 percent of 349.99 - 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 349.99 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 349.99 is 100%, so we can write it down as 349.99=100%.
4. We know, that x is 34.12% of the output value, so we can write it down as x=34.12%.
5. Now we have two simple equations:
1) 349.99=100%
2) x=34.12%
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:
349.99/x=100%/34.12%
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 34.12% of 349.99

349.99/x=100/34.12
(349.99/x)*x=(100/34.12)*x       - we multiply both sides of the equation by x
349.99=2.9308323563892*x       - we divide both sides of the equation by (2.9308323563892) to get x
349.99/2.9308323563892=x
119.416588=x
x=119.416588

now we have:
34.12% of 349.99=119.416588