240.6 is what percent of 269.95 - 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 269.95 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 269.95, so we can write it down as 100%=269.95.
4. We know, that x% equals 240.6 of the output value, so we can write it down as x%=240.6.
5. Now we have two simple equations:
1) 100%=269.95
2) x%=240.6
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%=269.95/240.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 240.6 is what percent of 269.95

100%/x%=269.95/240.6
(100/x)*x=(269.95/240.6)*x       - we multiply both sides of the equation by x
100=1.1219866999169*x       - we divide both sides of the equation by (1.1219866999169) to get x
100/1.1219866999169=x
89.127616225227=x
x=89.127616225227

now we have:
240.6 is 89.127616225227% of 269.95