64.46 is what percent of 482.67 - 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 482.67 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 482.67, so we can write it down as 100%=482.67.
4. We know, that x% equals 64.46 of the output value, so we can write it down as x%=64.46.
5. Now we have two simple equations:
1) 100%=482.67
2) x%=64.46
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%=482.67/64.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.46 is what percent of 482.67

100%/x%=482.67/64.46
(100/x)*x=(482.67/64.46)*x       - we multiply both sides of the equation by x
100=7.4878994725411*x       - we divide both sides of the equation by (7.4878994725411) to get x
100/7.4878994725411=x
13.354880145855=x
x=13.354880145855

now we have:
64.46 is 13.354880145855% of 482.67