What is 23.21 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 23.21% of the output value, so we can write it down as x=23.21%.
5. Now we have two simple equations:
1) 46.9=100%
2) x=23.21%
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%/23.21%
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 23.21% of 46.9

46.9/x=100/23.21
(46.9/x)*x=(100/23.21)*x       - we multiply both sides of the equation by x
46.9=4.30848772081*x       - we divide both sides of the equation by (4.30848772081) to get x
46.9/4.30848772081=x
10.88549=x
x=10.88549

now we have:
23.21% of 46.9=10.88549