3.13 is what percent of 46.67 - 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 46.67 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 46.67, so we can write it down as 100%=46.67.
4. We know, that x% equals 3.13 of the output value, so we can write it down as x%=3.13.
5. Now we have two simple equations:
1) 100%=46.67
2) x%=3.13
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%=46.67/3.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.13 is what percent of 46.67

100%/x%=46.67/3.13
(100/x)*x=(46.67/3.13)*x       - we multiply both sides of the equation by x
100=14.91054313099*x       - we divide both sides of the equation by (14.91054313099) to get x
100/14.91054313099=x
6.7066638097279=x
x=6.7066638097279

now we have:
3.13 is 6.7066638097279% of 46.67