10.81 is what percent of 118.95 - 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 118.95 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 118.95, so we can write it down as 100%=118.95.
4. We know, that x% equals 10.81 of the output value, so we can write it down as x%=10.81.
5. Now we have two simple equations:
1) 100%=118.95
2) x%=10.81
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%=118.95/10.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.81 is what percent of 118.95

100%/x%=118.95/10.81
(100/x)*x=(118.95/10.81)*x       - we multiply both sides of the equation by x
100=11.003700277521*x       - we divide both sides of the equation by (11.003700277521) to get x
100/11.003700277521=x
9.0878520386717=x
x=9.0878520386717

now we have:
10.81 is 9.0878520386717% of 118.95