251.25 is what percent of 1251.25 - 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 1251.25 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 1251.25, so we can write it down as 100%=1251.25.
4. We know, that x% equals 251.25 of the output value, so we can write it down as x%=251.25.
5. Now we have two simple equations:
1) 100%=1251.25
2) x%=251.25
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%=1251.25/251.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 251.25 is what percent of 1251.25

100%/x%=1251.25/251.25
(100/x)*x=(1251.25/251.25)*x       - we multiply both sides of the equation by x
100=4.9800995024876*x       - we divide both sides of the equation by (4.9800995024876) to get x
100/4.9800995024876=x
20.07992007992=x
x=20.07992007992

now we have:
251.25 is 20.07992007992% of 1251.25