6.55 is what percent of 0.52 - 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 0.52 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 0.52, so we can write it down as 100%=0.52.
4. We know, that x% equals 6.55 of the output value, so we can write it down as x%=6.55.
5. Now we have two simple equations:
1) 100%=0.52
2) x%=6.55
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%=0.52/6.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.55 is what percent of 0.52

100%/x%=0.52/6.55
(100/x)*x=(0.52/6.55)*x       - we multiply both sides of the equation by x
100=0.079389312977099*x       - we divide both sides of the equation by (0.079389312977099) to get x
100/0.079389312977099=x
1259.6153846154=x
x=1259.6153846154

now we have:
6.55 is 1259.6153846154% of 0.52