1.66 is what percent of 16.99 - 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 16.99 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 16.99, so we can write it down as 100%=16.99.
4. We know, that x% equals 1.66 of the output value, so we can write it down as x%=1.66.
5. Now we have two simple equations:
1) 100%=16.99
2) x%=1.66
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%=16.99/1.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.66 is what percent of 16.99

100%/x%=16.99/1.66
(100/x)*x=(16.99/1.66)*x       - we multiply both sides of the equation by x
100=10.234939759036*x       - we divide both sides of the equation by (10.234939759036) to get x
100/10.234939759036=x
9.7704532077693=x
x=9.7704532077693

now we have:
1.66 is 9.7704532077693% of 16.99