1.69 is what percent of 35.69 - 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 35.69 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 35.69, so we can write it down as 100%=35.69.
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%=35.69
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%=35.69/1.69
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 35.69

100%/x%=35.69/1.69
(100/x)*x=(35.69/1.69)*x       - we multiply both sides of the equation by x
100=21.118343195266*x       - we divide both sides of the equation by (21.118343195266) to get x
100/21.118343195266=x
4.7352199495657=x
x=4.7352199495657

now we have:
1.69 is 4.7352199495657% of 35.69