5.56 is what percent of 555.84 - 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 555.84 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 555.84, so we can write it down as 100%=555.84.
4. We know, that x% equals 5.56 of the output value, so we can write it down as x%=5.56.
5. Now we have two simple equations:
1) 100%=555.84
2) x%=5.56
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%=555.84/5.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.56 is what percent of 555.84

100%/x%=555.84/5.56
(100/x)*x=(555.84/5.56)*x       - we multiply both sides of the equation by x
100=99.971223021583*x       - we divide both sides of the equation by (99.971223021583) to get x
100/99.971223021583=x
1.0002878526195=x
x=1.0002878526195

now we have:
5.56 is 1.0002878526195% of 555.84