1.69 is what percent of 2.05 - 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 2.05 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 2.05, so we can write it down as 100%=2.05.
4. We know, that x% equals 1.69 of the output value, so we can write it down as x%=1.69.
5. Now we have two simple equations:
1) 100%=2.05
2) x%=1.69
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%=2.05/1.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.69 is what percent of 2.05

100%/x%=2.05/1.69
(100/x)*x=(2.05/1.69)*x       - we multiply both sides of the equation by x
100=1.2130177514793*x       - we divide both sides of the equation by (1.2130177514793) to get x
100/1.2130177514793=x
82.439024390244=x
x=82.439024390244

now we have:
1.69 is 82.439024390244% of 2.05