1.69 is what percent of 33.72 - 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 33.72 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 33.72, so we can write it down as 100%=33.72.
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%=33.72
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%=33.72/1.69
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 33.72

100%/x%=33.72/1.69
(100/x)*x=(33.72/1.69)*x       - we multiply both sides of the equation by x
100=19.952662721893*x       - we divide both sides of the equation by (19.952662721893) to get x
100/19.952662721893=x
5.011862396204=x
x=5.011862396204

now we have:
1.69 is 5.011862396204% of 33.72