What is 65.5 percent of 45.8 - 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 45.8 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 45.8 is 100%, so we can write it down as 45.8=100%.
4. We know, that x is 65.5% of the output value, so we can write it down as x=65.5%.
5. Now we have two simple equations:
1) 45.8=100%
2) x=65.5%
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:
45.8/x=100%/65.5%
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 65.5% of 45.8

45.8/x=100/65.5
(45.8/x)*x=(100/65.5)*x       - we multiply both sides of the equation by x
45.8=1.5267175572519*x       - we divide both sides of the equation by (1.5267175572519) to get x
45.8/1.5267175572519=x
29.999=x
x=29.999

now we have:
65.5% of 45.8=29.999