What is 56.5 percent of 66 - 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 66 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 66 is 100%, so we can write it down as 66=100%.
4. We know, that x is 56.5% of the output value, so we can write it down as x=56.5%.
5. Now we have two simple equations:
1) 66=100%
2) x=56.5%
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:
66/x=100%/56.5%
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 56.5% of 66

66/x=100/56.5
(66/x)*x=(100/56.5)*x       - we multiply both sides of the equation by x
66=1.7699115044248*x       - we divide both sides of the equation by (1.7699115044248) to get x
66/1.7699115044248=x
37.29=x
x=37.29

now we have:
56.5% of 66=37.29