What is 58.5 percent of 80.5 - 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 80.5 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 80.5 is 100%, so we can write it down as 80.5=100%.
4. We know, that x is 58.5% of the output value, so we can write it down as x=58.5%.
5. Now we have two simple equations:
1) 80.5=100%
2) x=58.5%
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:
80.5/x=100%/58.5%
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 58.5% of 80.5

80.5/x=100/58.5
(80.5/x)*x=(100/58.5)*x       - we multiply both sides of the equation by x
80.5=1.7094017094017*x       - we divide both sides of the equation by (1.7094017094017) to get x
80.5/1.7094017094017=x
47.0925=x
x=47.0925

now we have:
58.5% of 80.5=47.0925