What is 35.6 percent of 46.9 - 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 46.9 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 46.9 is 100%, so we can write it down as 46.9=100%.
4. We know, that x is 35.6% of the output value, so we can write it down as x=35.6%.
5. Now we have two simple equations:
1) 46.9=100%
2) x=35.6%
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:
46.9/x=100%/35.6%
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 35.6% of 46.9

46.9/x=100/35.6
(46.9/x)*x=(100/35.6)*x       - we multiply both sides of the equation by x
46.9=2.8089887640449*x       - we divide both sides of the equation by (2.8089887640449) to get x
46.9/2.8089887640449=x
16.6964=x
x=16.6964

now we have:
35.6% of 46.9=16.6964