67 is what percent of 3564 - 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 3564 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 3564, so we can write it down as 100%=3564.
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%=3564
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%=3564/67
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 3564

100%/x%=3564/67
(100/x)*x=(3564/67)*x       - we multiply both sides of the equation by x
100=53.194029850746*x       - we divide both sides of the equation by (53.194029850746) to get x
100/53.194029850746=x
1.8799102132435=x
x=1.8799102132435

now we have:
67 is 1.8799102132435% of 3564