348.11 is what percent of 1289.1 - 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 1289.1 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 1289.1, so we can write it down as 100%=1289.1.
4. We know, that x% equals 348.11 of the output value, so we can write it down as x%=348.11.
5. Now we have two simple equations:
1) 100%=1289.1
2) x%=348.11
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%=1289.1/348.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 348.11 is what percent of 1289.1

100%/x%=1289.1/348.11
(100/x)*x=(1289.1/348.11)*x       - we multiply both sides of the equation by x
100=3.7031398121283*x       - we divide both sides of the equation by (3.7031398121283) to get x
100/3.7031398121283=x
27.004111395547=x
x=27.004111395547

now we have:
348.11 is 27.004111395547% of 1289.1