42.53 is what percent of 10240 - 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 10240 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 10240, so we can write it down as 100%=10240.
4. We know, that x% equals 42.53 of the output value, so we can write it down as x%=42.53.
5. Now we have two simple equations:
1) 100%=10240
2) x%=42.53
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%=10240/42.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.53 is what percent of 10240

100%/x%=10240/42.53
(100/x)*x=(10240/42.53)*x       - we multiply both sides of the equation by x
100=240.77122031507*x       - we divide both sides of the equation by (240.77122031507) to get x
100/240.77122031507=x
0.41533203125=x
x=0.41533203125

now we have:
42.53 is 0.41533203125% of 10240