2.77 is what percent of 59 - 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 59 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 100% equals 59, so we can write it down as 100%=59.
4. We know, that x% equals 2.77 of the output value, so we can write it down as x%=2.77.
5. Now we have two simple equations:
1) 100%=59
2) x%=2.77
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:
100%/x%=59/2.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.77 is what percent of 59

100%/x%=59/2.77
(100/x)*x=(59/2.77)*x       - we multiply both sides of the equation by x
100=21.29963898917*x       - we divide both sides of the equation by (21.29963898917) to get x
100/21.29963898917=x
4.6949152542373=x
x=4.6949152542373

now we have:
2.77 is 4.6949152542373% of 59