64.64 is what percent of 3480 - 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 3480 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 3480, so we can write it down as 100%=3480.
4. We know, that x% equals 64.64 of the output value, so we can write it down as x%=64.64.
5. Now we have two simple equations:
1) 100%=3480
2) x%=64.64
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%=3480/64.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.64 is what percent of 3480

100%/x%=3480/64.64
(100/x)*x=(3480/64.64)*x       - we multiply both sides of the equation by x
100=53.836633663366*x       - we divide both sides of the equation by (53.836633663366) to get x
100/53.836633663366=x
1.8574712643678=x
x=1.8574712643678

now we have:
64.64 is 1.8574712643678% of 3480