69.02 is what percent of 204.82 - 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 204.82 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 204.82, so we can write it down as 100%=204.82.
4. We know, that x% equals 69.02 of the output value, so we can write it down as x%=69.02.
5. Now we have two simple equations:
1) 100%=204.82
2) x%=69.02
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%=204.82/69.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69.02 is what percent of 204.82

100%/x%=204.82/69.02
(100/x)*x=(204.82/69.02)*x       - we multiply both sides of the equation by x
100=2.9675456389452*x       - we divide both sides of the equation by (2.9675456389452) to get x
100/2.9675456389452=x
33.697881066302=x
x=33.697881066302

now we have:
69.02 is 33.697881066302% of 204.82