30.1 is what percent of 261.9 - 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 261.9 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 261.9, so we can write it down as 100%=261.9.
4. We know, that x% equals 30.1 of the output value, so we can write it down as x%=30.1.
5. Now we have two simple equations:
1) 100%=261.9
2) x%=30.1
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%=261.9/30.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.1 is what percent of 261.9

100%/x%=261.9/30.1
(100/x)*x=(261.9/30.1)*x       - we multiply both sides of the equation by x
100=8.7009966777409*x       - we divide both sides of the equation by (8.7009966777409) to get x
100/8.7009966777409=x
11.492936235204=x
x=11.492936235204

now we have:
30.1 is 11.492936235204% of 261.9