1.69 is what percent of 1.03 - 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 1.03 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 1.03, so we can write it down as 100%=1.03.
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%=1.03
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%=1.03/1.69
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 1.03

100%/x%=1.03/1.69
(100/x)*x=(1.03/1.69)*x       - we multiply both sides of the equation by x
100=0.6094674556213*x       - we divide both sides of the equation by (0.6094674556213) to get x
100/0.6094674556213=x
164.07766990291=x
x=164.07766990291

now we have:
1.69 is 164.07766990291% of 1.03