160.31 is what percent of 1191.02 - 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 1191.02 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 1191.02, so we can write it down as 100%=1191.02.
4. We know, that x% equals 160.31 of the output value, so we can write it down as x%=160.31.
5. Now we have two simple equations:
1) 100%=1191.02
2) x%=160.31
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%=1191.02/160.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 160.31 is what percent of 1191.02

100%/x%=1191.02/160.31
(100/x)*x=(1191.02/160.31)*x       - we multiply both sides of the equation by x
100=7.4294803817603*x       - we divide both sides of the equation by (7.4294803817603) to get x
100/7.4294803817603=x
13.459891521553=x
x=13.459891521553

now we have:
160.31 is 13.459891521553% of 1191.02