13.77 is what percent of 153.19 - 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 153.19 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 153.19, so we can write it down as 100%=153.19.
4. We know, that x% equals 13.77 of the output value, so we can write it down as x%=13.77.
5. Now we have two simple equations:
1) 100%=153.19
2) x%=13.77
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%=153.19/13.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.77 is what percent of 153.19

100%/x%=153.19/13.77
(100/x)*x=(153.19/13.77)*x       - we multiply both sides of the equation by x
100=11.124909222948*x       - we divide both sides of the equation by (11.124909222948) to get x
100/11.124909222948=x
8.9888373914746=x
x=8.9888373914746

now we have:
13.77 is 8.9888373914746% of 153.19