166.99 is what percent of 1727 - 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 1727 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 1727, so we can write it down as 100%=1727.
4. We know, that x% equals 166.99 of the output value, so we can write it down as x%=166.99.
5. Now we have two simple equations:
1) 100%=1727
2) x%=166.99
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%=1727/166.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.99 is what percent of 1727

100%/x%=1727/166.99
(100/x)*x=(1727/166.99)*x       - we multiply both sides of the equation by x
100=10.341936642913*x       - we divide both sides of the equation by (10.341936642913) to get x
100/10.341936642913=x
9.6693688477128=x
x=9.6693688477128

now we have:
166.99 is 9.6693688477128% of 1727