What is 38.09 percent of 46 - 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 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 is 100%, so we can write it down as 46=100%.
4. We know, that x is 38.09% of the output value, so we can write it down as x=38.09%.
5. Now we have two simple equations:
1) 46=100%
2) x=38.09%
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/x=100%/38.09%
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 38.09% of 46

46/x=100/38.09
(46/x)*x=(100/38.09)*x       - we multiply both sides of the equation by x
46=2.62536098714*x       - we divide both sides of the equation by (2.62536098714) to get x
46/2.62536098714=x
17.5214=x
x=17.5214

now we have:
38.09% of 46=17.5214