67.07 is what percent of 205.7 - 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 205.7 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 205.7, so we can write it down as 100%=205.7.
4. We know, that x% equals 67.07 of the output value, so we can write it down as x%=67.07.
5. Now we have two simple equations:
1) 100%=205.7
2) x%=67.07
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%=205.7/67.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.07 is what percent of 205.7

100%/x%=205.7/67.07
(100/x)*x=(205.7/67.07)*x       - we multiply both sides of the equation by x
100=3.0669449828537*x       - we divide both sides of the equation by (3.0669449828537) to get x
100/3.0669449828537=x
32.60573650948=x
x=32.60573650948

now we have:
67.07 is 32.60573650948% of 205.7