6.56 is what percent of 5.88 - 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 5.88 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 5.88, so we can write it down as 100%=5.88.
4. We know, that x% equals 6.56 of the output value, so we can write it down as x%=6.56.
5. Now we have two simple equations:
1) 100%=5.88
2) x%=6.56
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%=5.88/6.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.56 is what percent of 5.88

100%/x%=5.88/6.56
(100/x)*x=(5.88/6.56)*x       - we multiply both sides of the equation by x
100=0.89634146341463*x       - we divide both sides of the equation by (0.89634146341463) to get x
100/0.89634146341463=x
111.56462585034=x
x=111.56462585034

now we have:
6.56 is 111.56462585034% of 5.88