8.47 is what percent of 11.53 - 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 11.53 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 11.53, so we can write it down as 100%=11.53.
4. We know, that x% equals 8.47 of the output value, so we can write it down as x%=8.47.
5. Now we have two simple equations:
1) 100%=11.53
2) x%=8.47
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%=11.53/8.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.47 is what percent of 11.53

100%/x%=11.53/8.47
(100/x)*x=(11.53/8.47)*x       - we multiply both sides of the equation by x
100=1.3612750885478*x       - we divide both sides of the equation by (1.3612750885478) to get x
100/1.3612750885478=x
73.460537727667=x
x=73.460537727667

now we have:
8.47 is 73.460537727667% of 11.53