33 is what percent of 69.69 - 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 69.69 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 69.69, so we can write it down as 100%=69.69.
4. We know, that x% equals 33 of the output value, so we can write it down as x%=33.
5. Now we have two simple equations:
1) 100%=69.69
2) x%=33
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%=69.69/33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33 is what percent of 69.69

100%/x%=69.69/33
(100/x)*x=(69.69/33)*x       - we multiply both sides of the equation by x
100=2.1118181818182*x       - we divide both sides of the equation by (2.1118181818182) to get x
100/2.1118181818182=x
47.352561343091=x
x=47.352561343091

now we have:
33 is 47.352561343091% of 69.69