What is 29.3 percent of 46.3 - 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 46.3 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 46.3 is 100%, so we can write it down as 46.3=100%.
4. We know, that x is 29.3% of the output value, so we can write it down as x=29.3%.
5. Now we have two simple equations:
1) 46.3=100%
2) x=29.3%
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:
46.3/x=100%/29.3%
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 29.3% of 46.3

46.3/x=100/29.3
(46.3/x)*x=(100/29.3)*x       - we multiply both sides of the equation by x
46.3=3.4129692832765*x       - we divide both sides of the equation by (3.4129692832765) to get x
46.3/3.4129692832765=x
13.5659=x
x=13.5659

now we have:
29.3% of 46.3=13.5659