11.53 is what percent of 171.8 - 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 171.8 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 171.8, so we can write it down as 100%=171.8.
4. We know, that x% equals 11.53 of the output value, so we can write it down as x%=11.53.
5. Now we have two simple equations:
1) 100%=171.8
2) x%=11.53
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%=171.8/11.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.53 is what percent of 171.8

100%/x%=171.8/11.53
(100/x)*x=(171.8/11.53)*x       - we multiply both sides of the equation by x
100=14.900260190807*x       - we divide both sides of the equation by (14.900260190807) to get x
100/14.900260190807=x
6.7112922002328=x
x=6.7112922002328

now we have:
11.53 is 6.7112922002328% of 171.8