What is 55.77 percent of 85.8 - 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 85.8 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 85.8 is 100%, so we can write it down as 85.8=100%.
4. We know, that x is 55.77% of the output value, so we can write it down as x=55.77%.
5. Now we have two simple equations:
1) 85.8=100%
2) x=55.77%
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:
85.8/x=100%/55.77%
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 55.77% of 85.8

85.8/x=100/55.77
(85.8/x)*x=(100/55.77)*x       - we multiply both sides of the equation by x
85.8=1.7930787161556*x       - we divide both sides of the equation by (1.7930787161556) to get x
85.8/1.7930787161556=x
47.85066=x
x=47.85066

now we have:
55.77% of 85.8=47.85066