What is 59.5 percent of 55.5 - 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 55.5 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 55.5 is 100%, so we can write it down as 55.5=100%.
4. We know, that x is 59.5% of the output value, so we can write it down as x=59.5%.
5. Now we have two simple equations:
1) 55.5=100%
2) x=59.5%
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:
55.5/x=100%/59.5%
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 59.5% of 55.5

55.5/x=100/59.5
(55.5/x)*x=(100/59.5)*x       - we multiply both sides of the equation by x
55.5=1.6806722689076*x       - we divide both sides of the equation by (1.6806722689076) to get x
55.5/1.6806722689076=x
33.0225=x
x=33.0225

now we have:
59.5% of 55.5=33.0225