567.83 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 567.83 of the output value, so we can write it down as x%=567.83.
5. Now we have two simple equations:
1) 100%=1000
2) x%=567.83
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%=1000/567.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 567.83 is what percent of 1000

100%/x%=1000/567.83
(100/x)*x=(1000/567.83)*x       - we multiply both sides of the equation by x
100=1.7610904672173*x       - we divide both sides of the equation by (1.7610904672173) to get x
100/1.7610904672173=x
56.783=x
x=56.783

now we have:
567.83 is 56.783% of 1000