What is 29.2 percent of 146 - 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 146 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 146 is 100%, so we can write it down as 146=100%.
4. We know, that x is 29.2% of the output value, so we can write it down as x=29.2%.
5. Now we have two simple equations:
1) 146=100%
2) x=29.2%
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:
146/x=100%/29.2%
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 29.2% of 146

146/x=100/29.2
(146/x)*x=(100/29.2)*x       - we multiply both sides of the equation by x
146=3.4246575342466*x       - we divide both sides of the equation by (3.4246575342466) to get x
146/3.4246575342466=x
42.632=x
x=42.632

now we have:
29.2% of 146=42.632