13.77 is what percent of 178 - 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 178 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 178, so we can write it down as 100%=178.
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%=178
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%=178/13.77
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 178

100%/x%=178/13.77
(100/x)*x=(178/13.77)*x       - we multiply both sides of the equation by x
100=12.926652142338*x       - we divide both sides of the equation by (12.926652142338) to get x
100/12.926652142338=x
7.7359550561798=x
x=7.7359550561798

now we have:
13.77 is 7.7359550561798% of 178