50.66 is what percent of 1000 - 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 1000 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 1000, so we can write it down as 100%=1000.
4. We know, that x% equals 50.66 of the output value, so we can write it down as x%=50.66.
5. Now we have two simple equations:
1) 100%=1000
2) x%=50.66
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%=1000/50.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.66 is what percent of 1000

100%/x%=1000/50.66
(100/x)*x=(1000/50.66)*x       - we multiply both sides of the equation by x
100=19.739439399921*x       - we divide both sides of the equation by (19.739439399921) to get x
100/19.739439399921=x
5.066=x
x=5.066

now we have:
50.66 is 5.066% of 1000