What is 29.75 percent of 2.4 - 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 2.4 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 2.4 is 100%, so we can write it down as 2.4=100%.
4. We know, that x is 29.75% of the output value, so we can write it down as x=29.75%.
5. Now we have two simple equations:
1) 2.4=100%
2) x=29.75%
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:
2.4/x=100%/29.75%
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 29.75% of 2.4

2.4/x=100/29.75
(2.4/x)*x=(100/29.75)*x       - we multiply both sides of the equation by x
2.4=3.3613445378151*x       - we divide both sides of the equation by (3.3613445378151) to get x
2.4/3.3613445378151=x
0.714=x
x=0.714

now we have:
29.75% of 2.4=0.714