What is 33.34 percent of 29.99 - 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 29.99 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 29.99 is 100%, so we can write it down as 29.99=100%.
4. We know, that x is 33.34% of the output value, so we can write it down as x=33.34%.
5. Now we have two simple equations:
1) 29.99=100%
2) x=33.34%
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:
29.99/x=100%/33.34%
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 33.34% of 29.99

29.99/x=100/33.34
(29.99/x)*x=(100/33.34)*x       - we multiply both sides of the equation by x
29.99=2.999400119976*x       - we divide both sides of the equation by (2.999400119976) to get x
29.99/2.999400119976=x
9.998666=x
x=9.998666

now we have:
33.34% of 29.99=9.998666