What is 29.6 percent of 2.642 - 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 2.642 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 2.642 is 100%, so we can write it down as 2.642=100%.
4. We know, that x is 29.6% of the output value, so we can write it down as x=29.6%.
5. Now we have two simple equations:
1) 2.642=100%
2) x=29.6%
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:
2.642/x=100%/29.6%
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 29.6% of 2.642

2.642/x=100/29.6
(2.642/x)*x=(100/29.6)*x       - we multiply both sides of the equation by x
2.642=3.3783783783784*x       - we divide both sides of the equation by (3.3783783783784) to get x
2.642/3.3783783783784=x
0.782032=x
x=0.782032

now we have:
29.6% of 2.642=0.782032