240.1 is what percent of 1528.8 - 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 1528.8 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 1528.8, so we can write it down as 100%=1528.8.
4. We know, that x% equals 240.1 of the output value, so we can write it down as x%=240.1.
5. Now we have two simple equations:
1) 100%=1528.8
2) x%=240.1
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%=1528.8/240.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 240.1 is what percent of 1528.8

100%/x%=1528.8/240.1
(100/x)*x=(1528.8/240.1)*x       - we multiply both sides of the equation by x
100=6.3673469387755*x       - we divide both sides of the equation by (6.3673469387755) to get x
100/6.3673469387755=x
15.705128205128=x
x=15.705128205128

now we have:
240.1 is 15.705128205128% of 1528.8