5.65 is what percent of 6.55 - 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 6.55 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 6.55, so we can write it down as 100%=6.55.
4. We know, that x% equals 5.65 of the output value, so we can write it down as x%=5.65.
5. Now we have two simple equations:
1) 100%=6.55
2) x%=5.65
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%=6.55/5.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.65 is what percent of 6.55

100%/x%=6.55/5.65
(100/x)*x=(6.55/5.65)*x       - we multiply both sides of the equation by x
100=1.1592920353982*x       - we divide both sides of the equation by (1.1592920353982) to get x
100/1.1592920353982=x
86.259541984733=x
x=86.259541984733

now we have:
5.65 is 86.259541984733% of 6.55