555.55 is what percent of 5000 - 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 5000 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 5000, so we can write it down as 100%=5000.
4. We know, that x% equals 555.55 of the output value, so we can write it down as x%=555.55.
5. Now we have two simple equations:
1) 100%=5000
2) x%=555.55
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%=5000/555.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 555.55 is what percent of 5000

100%/x%=5000/555.55
(100/x)*x=(5000/555.55)*x       - we multiply both sides of the equation by x
100=9.0000900009*x       - we divide both sides of the equation by (9.0000900009) to get x
100/9.0000900009=x
11.111=x
x=11.111

now we have:
555.55 is 11.111% of 5000