What is 23.5 percent of 33.4 - 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 33.4 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 33.4 is 100%, so we can write it down as 33.4=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) 33.4=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:
33.4/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 33.4

33.4/x=100/23.5
(33.4/x)*x=(100/23.5)*x       - we multiply both sides of the equation by x
33.4=4.2553191489362*x       - we divide both sides of the equation by (4.2553191489362) to get x
33.4/4.2553191489362=x
7.849=x
x=7.849

now we have:
23.5% of 33.4=7.849