159.92 is what percent of 1149.31 - 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 1149.31 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 1149.31, so we can write it down as 100%=1149.31.
4. We know, that x% equals 159.92 of the output value, so we can write it down as x%=159.92.
5. Now we have two simple equations:
1) 100%=1149.31
2) x%=159.92
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%=1149.31/159.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.92 is what percent of 1149.31

100%/x%=1149.31/159.92
(100/x)*x=(1149.31/159.92)*x       - we multiply both sides of the equation by x
100=7.1867808904452*x       - we divide both sides of the equation by (7.1867808904452) to get x
100/7.1867808904452=x
13.914435617892=x
x=13.914435617892

now we have:
159.92 is 13.914435617892% of 1149.31