1029.77 is what percent of 2880.77 - 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 2880.77 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 2880.77, so we can write it down as 100%=2880.77.
4. We know, that x% equals 1029.77 of the output value, so we can write it down as x%=1029.77.
5. Now we have two simple equations:
1) 100%=2880.77
2) x%=1029.77
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%=2880.77/1029.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1029.77 is what percent of 2880.77

100%/x%=2880.77/1029.77
(100/x)*x=(2880.77/1029.77)*x       - we multiply both sides of the equation by x
100=2.7974887596259*x       - we divide both sides of the equation by (2.7974887596259) to get x
100/2.7974887596259=x
35.746345595101=x
x=35.746345595101

now we have:
1029.77 is 35.746345595101% of 2880.77