What is 75.5555555556 percent of 60 - 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 60 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 60 is 100%, so we can write it down as 60=100%.
4. We know, that x is 75.5555555556% of the output value, so we can write it down as x=75.5555555556%.
5. Now we have two simple equations:
1) 60=100%
2) x=75.5555555556%
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:
60/x=100%/75.5555555556%
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 75.5555555556% of 60

60/x=100/75.5555555556
(60/x)*x=(100/75.5555555556)*x       - we multiply both sides of the equation by x
60=1.3235294117639*x       - we divide both sides of the equation by (1.3235294117639) to get x
60/1.3235294117639=x
45.33333333336=x
x=45.33333333336

now we have:
75.5555555556% of 60=45.33333333336