140.76 is what percent of 1161 - 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 1161 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 1161, so we can write it down as 100%=1161.
4. We know, that x% equals 140.76 of the output value, so we can write it down as x%=140.76.
5. Now we have two simple equations:
1) 100%=1161
2) x%=140.76
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%=1161/140.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 140.76 is what percent of 1161

100%/x%=1161/140.76
(100/x)*x=(1161/140.76)*x       - we multiply both sides of the equation by x
100=8.2480818414322*x       - we divide both sides of the equation by (8.2480818414322) to get x
100/8.2480818414322=x
12.124031007752=x
x=12.124031007752

now we have:
140.76 is 12.124031007752% of 1161