What is 144.5 percent of 262.5 - 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 262.5 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 262.5 is 100%, so we can write it down as 262.5=100%.
4. We know, that x is 144.5% of the output value, so we can write it down as x=144.5%.
5. Now we have two simple equations:
1) 262.5=100%
2) x=144.5%
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:
262.5/x=100%/144.5%
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 144.5% of 262.5

262.5/x=100/144.5
(262.5/x)*x=(100/144.5)*x       - we multiply both sides of the equation by x
262.5=0.69204152249135*x       - we divide both sides of the equation by (0.69204152249135) to get x
262.5/0.69204152249135=x
379.3125=x
x=379.3125

now we have:
144.5% of 262.5=379.3125