What is 166.5 percent of 45 - 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 45 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 45 is 100%, so we can write it down as 45=100%.
4. We know, that x is 166.5% of the output value, so we can write it down as x=166.5%.
5. Now we have two simple equations:
1) 45=100%
2) x=166.5%
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:
45/x=100%/166.5%
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 166.5% of 45

45/x=100/166.5
(45/x)*x=(100/166.5)*x       - we multiply both sides of the equation by x
45=0.6006006006006*x       - we divide both sides of the equation by (0.6006006006006) to get x
45/0.6006006006006=x
74.925=x
x=74.925

now we have:
166.5% of 45=74.925