11.45 is what percent of 82.7 - 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 82.7 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 82.7, so we can write it down as 100%=82.7.
4. We know, that x% equals 11.45 of the output value, so we can write it down as x%=11.45.
5. Now we have two simple equations:
1) 100%=82.7
2) x%=11.45
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%=82.7/11.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.45 is what percent of 82.7

100%/x%=82.7/11.45
(100/x)*x=(82.7/11.45)*x       - we multiply both sides of the equation by x
100=7.2227074235808*x       - we divide both sides of the equation by (7.2227074235808) to get x
100/7.2227074235808=x
13.845223700121=x
x=13.845223700121

now we have:
11.45 is 13.845223700121% of 82.7