What is 125 percent of 212.5 - 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 212.5 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 212.5 is 100%, so we can write it down as 212.5=100%.
4. We know, that x is 125% of the output value, so we can write it down as x=125%.
5. Now we have two simple equations:
1) 212.5=100%
2) x=125%
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:
212.5/x=100%/125%
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 125% of 212.5

212.5/x=100/125
(212.5/x)*x=(100/125)*x       - we multiply both sides of the equation by x
212.5=0.8*x       - we divide both sides of the equation by (0.8) to get x
212.5/0.8=x
265.625=x
x=265.625

now we have:
125% of 212.5=265.625