What is 242.5 percent of 265 - 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 265 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 265 is 100%, so we can write it down as 265=100%.
4. We know, that x is 242.5% of the output value, so we can write it down as x=242.5%.
5. Now we have two simple equations:
1) 265=100%
2) x=242.5%
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:
265/x=100%/242.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 242.5% of 265

265/x=100/242.5
(265/x)*x=(100/242.5)*x       - we multiply both sides of the equation by x
265=0.41237113402062*x       - we divide both sides of the equation by (0.41237113402062) to get x
265/0.41237113402062=x
642.625=x
x=642.625

now we have:
242.5% of 265=642.625