53 is what percent of 40816 - 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 40816 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 40816, so we can write it down as 100%=40816.
4. We know, that x% equals 53 of the output value, so we can write it down as x%=53.
5. Now we have two simple equations:
1) 100%=40816
2) x%=53
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%=40816/53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53 is what percent of 40816

100%/x%=40816/53
(100/x)*x=(40816/53)*x       - we multiply both sides of the equation by x
100=770.11320754717*x       - we divide both sides of the equation by (770.11320754717) to get x
100/770.11320754717=x
0.12985103880831=x
x=0.12985103880831

now we have:
53 is 0.12985103880831% of 40816