What is 749 percent of 29.96 - 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 29.96 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 29.96 is 100%, so we can write it down as 29.96=100%.
4. We know, that x is 749% of the output value, so we can write it down as x=749%.
5. Now we have two simple equations:
1) 29.96=100%
2) x=749%
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:
29.96/x=100%/749%
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 749% of 29.96

29.96/x=100/749
(29.96/x)*x=(100/749)*x       - we multiply both sides of the equation by x
29.96=0.13351134846462*x       - we divide both sides of the equation by (0.13351134846462) to get x
29.96/0.13351134846462=x
224.4004=x
x=224.4004

now we have:
749% of 29.96=224.4004