What is 95.9 percent of 55.57 - 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 55.57 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 55.57 is 100%, so we can write it down as 55.57=100%.
4. We know, that x is 95.9% of the output value, so we can write it down as x=95.9%.
5. Now we have two simple equations:
1) 55.57=100%
2) x=95.9%
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:
55.57/x=100%/95.9%
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 95.9% of 55.57

55.57/x=100/95.9
(55.57/x)*x=(100/95.9)*x       - we multiply both sides of the equation by x
55.57=1.0427528675704*x       - we divide both sides of the equation by (1.0427528675704) to get x
55.57/1.0427528675704=x
53.29163=x
x=53.29163

now we have:
95.9% of 55.57=53.29163