155.67 is what percent of 1294.11 - 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 1294.11 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 1294.11, so we can write it down as 100%=1294.11.
4. We know, that x% equals 155.67 of the output value, so we can write it down as x%=155.67.
5. Now we have two simple equations:
1) 100%=1294.11
2) x%=155.67
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%=1294.11/155.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.67 is what percent of 1294.11

100%/x%=1294.11/155.67
(100/x)*x=(1294.11/155.67)*x       - we multiply both sides of the equation by x
100=8.313162459048*x       - we divide both sides of the equation by (8.313162459048) to get x
100/8.313162459048=x
12.029116535689=x
x=12.029116535689

now we have:
155.67 is 12.029116535689% of 1294.11