46.89 is what percent of 67 - 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 67 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 67, so we can write it down as 100%=67.
4. We know, that x% equals 46.89 of the output value, so we can write it down as x%=46.89.
5. Now we have two simple equations:
1) 100%=67
2) x%=46.89
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%=67/46.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.89 is what percent of 67

100%/x%=67/46.89
(100/x)*x=(67/46.89)*x       - we multiply both sides of the equation by x
100=1.4288760929836*x       - we divide both sides of the equation by (1.4288760929836) to get x
100/1.4288760929836=x
69.985074626866=x
x=69.985074626866

now we have:
46.89 is 69.985074626866% of 67