What is 23.5 percent of 166.5 - 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 166.5 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 166.5 is 100%, so we can write it down as 166.5=100%.
4. We know, that x is 23.5% of the output value, so we can write it down as x=23.5%.
5. Now we have two simple equations:
1) 166.5=100%
2) x=23.5%
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:
166.5/x=100%/23.5%
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 23.5% of 166.5

166.5/x=100/23.5
(166.5/x)*x=(100/23.5)*x       - we multiply both sides of the equation by x
166.5=4.2553191489362*x       - we divide both sides of the equation by (4.2553191489362) to get x
166.5/4.2553191489362=x
39.1275=x
x=39.1275

now we have:
23.5% of 166.5=39.1275