What is 42.67 percent of 65.33 - 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 65.33 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 65.33 is 100%, so we can write it down as 65.33=100%.
4. We know, that x is 42.67% of the output value, so we can write it down as x=42.67%.
5. Now we have two simple equations:
1) 65.33=100%
2) x=42.67%
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:
65.33/x=100%/42.67%
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 42.67% of 65.33

65.33/x=100/42.67
(65.33/x)*x=(100/42.67)*x       - we multiply both sides of the equation by x
65.33=2.3435669088352*x       - we divide both sides of the equation by (2.3435669088352) to get x
65.33/2.3435669088352=x
27.876311=x
x=27.876311

now we have:
42.67% of 65.33=27.876311