6.52 is what percent of 55.63 - 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 55.63 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 55.63, so we can write it down as 100%=55.63.
4. We know, that x% equals 6.52 of the output value, so we can write it down as x%=6.52.
5. Now we have two simple equations:
1) 100%=55.63
2) x%=6.52
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%=55.63/6.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.52 is what percent of 55.63

100%/x%=55.63/6.52
(100/x)*x=(55.63/6.52)*x       - we multiply both sides of the equation by x
100=8.5322085889571*x       - we divide both sides of the equation by (8.5322085889571) to get x
100/8.5322085889571=x
11.720294804961=x
x=11.720294804961

now we have:
6.52 is 11.720294804961% of 55.63