59.77 is what percent of 205.67 - 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 205.67 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 205.67, so we can write it down as 100%=205.67.
4. We know, that x% equals 59.77 of the output value, so we can write it down as x%=59.77.
5. Now we have two simple equations:
1) 100%=205.67
2) x%=59.77
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%=205.67/59.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.77 is what percent of 205.67

100%/x%=205.67/59.77
(100/x)*x=(205.67/59.77)*x       - we multiply both sides of the equation by x
100=3.441023925046*x       - we divide both sides of the equation by (3.441023925046) to get x
100/3.441023925046=x
29.061117323868=x
x=29.061117323868

now we have:
59.77 is 29.061117323868% of 205.67