505.77 is what percent of 1005.77 - 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 1005.77 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 1005.77, so we can write it down as 100%=1005.77.
4. We know, that x% equals 505.77 of the output value, so we can write it down as x%=505.77.
5. Now we have two simple equations:
1) 100%=1005.77
2) x%=505.77
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%=1005.77/505.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 505.77 is what percent of 1005.77

100%/x%=1005.77/505.77
(100/x)*x=(1005.77/505.77)*x       - we multiply both sides of the equation by x
100=1.9885916523321*x       - we divide both sides of the equation by (1.9885916523321) to get x
100/1.9885916523321=x
50.286844904899=x
x=50.286844904899

now we have:
505.77 is 50.286844904899% of 1005.77