39.85 is what percent of 53 - 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 53 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 53, so we can write it down as 100%=53.
4. We know, that x% equals 39.85 of the output value, so we can write it down as x%=39.85.
5. Now we have two simple equations:
1) 100%=53
2) x%=39.85
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%=53/39.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.85 is what percent of 53

100%/x%=53/39.85
(100/x)*x=(53/39.85)*x       - we multiply both sides of the equation by x
100=1.3299874529486*x       - we divide both sides of the equation by (1.3299874529486) to get x
100/1.3299874529486=x
75.188679245283=x
x=75.188679245283

now we have:
39.85 is 75.188679245283% of 53