301.25 is what percent of 2551.25 - 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 2551.25 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 2551.25, so we can write it down as 100%=2551.25.
4. We know, that x% equals 301.25 of the output value, so we can write it down as x%=301.25.
5. Now we have two simple equations:
1) 100%=2551.25
2) x%=301.25
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%=2551.25/301.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 301.25 is what percent of 2551.25

100%/x%=2551.25/301.25
(100/x)*x=(2551.25/301.25)*x       - we multiply both sides of the equation by x
100=8.4688796680498*x       - we divide both sides of the equation by (8.4688796680498) to get x
100/8.4688796680498=x
11.807937285644=x
x=11.807937285644

now we have:
301.25 is 11.807937285644% of 2551.25