10.91 is what percent of 12.34 - 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 12.34 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 12.34, so we can write it down as 100%=12.34.
4. We know, that x% equals 10.91 of the output value, so we can write it down as x%=10.91.
5. Now we have two simple equations:
1) 100%=12.34
2) x%=10.91
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%=12.34/10.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.91 is what percent of 12.34

100%/x%=12.34/10.91
(100/x)*x=(12.34/10.91)*x       - we multiply both sides of the equation by x
100=1.1310724106324*x       - we divide both sides of the equation by (1.1310724106324) to get x
100/1.1310724106324=x
88.411669367909=x
x=88.411669367909

now we have:
10.91 is 88.411669367909% of 12.34