69.35 is what percent of 165.47 - 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 165.47 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 165.47, so we can write it down as 100%=165.47.
4. We know, that x% equals 69.35 of the output value, so we can write it down as x%=69.35.
5. Now we have two simple equations:
1) 100%=165.47
2) x%=69.35
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%=165.47/69.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69.35 is what percent of 165.47

100%/x%=165.47/69.35
(100/x)*x=(165.47/69.35)*x       - we multiply both sides of the equation by x
100=2.3860129776496*x       - we divide both sides of the equation by (2.3860129776496) to get x
100/2.3860129776496=x
41.910920408533=x
x=41.910920408533

now we have:
69.35 is 41.910920408533% of 165.47