11.93 is what percent of 91.8 - 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 91.8 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 91.8, so we can write it down as 100%=91.8.
4. We know, that x% equals 11.93 of the output value, so we can write it down as x%=11.93.
5. Now we have two simple equations:
1) 100%=91.8
2) x%=11.93
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%=91.8/11.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.93 is what percent of 91.8

100%/x%=91.8/11.93
(100/x)*x=(91.8/11.93)*x       - we multiply both sides of the equation by x
100=7.6948868398994*x       - we divide both sides of the equation by (7.6948868398994) to get x
100/7.6948868398994=x
12.995642701525=x
x=12.995642701525

now we have:
11.93 is 12.995642701525% of 91.8