555.56 is what percent of 2000 - 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 2000 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 2000, so we can write it down as 100%=2000.
4. We know, that x% equals 555.56 of the output value, so we can write it down as x%=555.56.
5. Now we have two simple equations:
1) 100%=2000
2) x%=555.56
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%=2000/555.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 555.56 is what percent of 2000

100%/x%=2000/555.56
(100/x)*x=(2000/555.56)*x       - we multiply both sides of the equation by x
100=3.5999712002304*x       - we divide both sides of the equation by (3.5999712002304) to get x
100/3.5999712002304=x
27.778=x
x=27.778

now we have:
555.56 is 27.778% of 2000