What is 58.51 percent of 77.78 - 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 77.78 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 77.78 is 100%, so we can write it down as 77.78=100%.
4. We know, that x is 58.51% of the output value, so we can write it down as x=58.51%.
5. Now we have two simple equations:
1) 77.78=100%
2) x=58.51%
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:
77.78/x=100%/58.51%
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 58.51% of 77.78

77.78/x=100/58.51
(77.78/x)*x=(100/58.51)*x       - we multiply both sides of the equation by x
77.78=1.7091095539224*x       - we divide both sides of the equation by (1.7091095539224) to get x
77.78/1.7091095539224=x
45.509078=x
x=45.509078

now we have:
58.51% of 77.78=45.509078