17.7 is what percent of 1665 - 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 1665 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 1665, so we can write it down as 100%=1665.
4. We know, that x% equals 17.7 of the output value, so we can write it down as x%=17.7.
5. Now we have two simple equations:
1) 100%=1665
2) x%=17.7
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%=1665/17.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.7 is what percent of 1665

100%/x%=1665/17.7
(100/x)*x=(1665/17.7)*x       - we multiply both sides of the equation by x
100=94.067796610169*x       - we divide both sides of the equation by (94.067796610169) to get x
100/94.067796610169=x
1.0630630630631=x
x=1.0630630630631

now we have:
17.7 is 1.0630630630631% of 1665