31.44 is what percent of 52.09 - 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 52.09 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 52.09, so we can write it down as 100%=52.09.
4. We know, that x% equals 31.44 of the output value, so we can write it down as x%=31.44.
5. Now we have two simple equations:
1) 100%=52.09
2) x%=31.44
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%=52.09/31.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.44 is what percent of 52.09

100%/x%=52.09/31.44
(100/x)*x=(52.09/31.44)*x       - we multiply both sides of the equation by x
100=1.6568066157761*x       - we divide both sides of the equation by (1.6568066157761) to get x
100/1.6568066157761=x
60.35707429449=x
x=60.35707429449

now we have:
31.44 is 60.35707429449% of 52.09