166.34 is what percent of 1677.39 - 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 1677.39 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 1677.39, so we can write it down as 100%=1677.39.
4. We know, that x% equals 166.34 of the output value, so we can write it down as x%=166.34.
5. Now we have two simple equations:
1) 100%=1677.39
2) x%=166.34
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%=1677.39/166.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.34 is what percent of 1677.39

100%/x%=1677.39/166.34
(100/x)*x=(1677.39/166.34)*x       - we multiply both sides of the equation by x
100=10.084104845497*x       - we divide both sides of the equation by (10.084104845497) to get x
100/10.084104845497=x
9.9165966173639=x
x=9.9165966173639

now we have:
166.34 is 9.9165966173639% of 1677.39