17.78 is what percent of 936 - 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 936 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 936, so we can write it down as 100%=936.
4. We know, that x% equals 17.78 of the output value, so we can write it down as x%=17.78.
5. Now we have two simple equations:
1) 100%=936
2) x%=17.78
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%=936/17.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.78 is what percent of 936

100%/x%=936/17.78
(100/x)*x=(936/17.78)*x       - we multiply both sides of the equation by x
100=52.643419572553*x       - we divide both sides of the equation by (52.643419572553) to get x
100/52.643419572553=x
1.8995726495726=x
x=1.8995726495726

now we have:
17.78 is 1.8995726495726% of 936