What is 33.74 percent of 96.4 - 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 96.4 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 96.4 is 100%, so we can write it down as 96.4=100%.
4. We know, that x is 33.74% of the output value, so we can write it down as x=33.74%.
5. Now we have two simple equations:
1) 96.4=100%
2) x=33.74%
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:
96.4/x=100%/33.74%
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 33.74% of 96.4

96.4/x=100/33.74
(96.4/x)*x=(100/33.74)*x       - we multiply both sides of the equation by x
96.4=2.963841138115*x       - we divide both sides of the equation by (2.963841138115) to get x
96.4/2.963841138115=x
32.52536=x
x=32.52536

now we have:
33.74% of 96.4=32.52536