What is 95.7 percent of 33 - 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 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 is 100%, so we can write it down as 33=100%.
4. We know, that x is 95.7% of the output value, so we can write it down as x=95.7%.
5. Now we have two simple equations:
1) 33=100%
2) x=95.7%
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/x=100%/95.7%
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 95.7% of 33

33/x=100/95.7
(33/x)*x=(100/95.7)*x       - we multiply both sides of the equation by x
33=1.0449320794148*x       - we divide both sides of the equation by (1.0449320794148) to get x
33/1.0449320794148=x
31.581=x
x=31.581

now we have:
95.7% of 33=31.581