67 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 of the output value, so we can write it down as x%=67.
5. Now we have two simple equations:
1) 100%=205.7
2) x%=67
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
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67 is what percent of 205.7

100%/x%=205.7/67
(100/x)*x=(205.7/67)*x       - we multiply both sides of the equation by x
100=3.0701492537313*x       - we divide both sides of the equation by (3.0701492537313) to get x
100/3.0701492537313=x
32.571706368498=x
x=32.571706368498

now we have:
67 is 32.571706368498% of 205.7