65.94 is what percent of 1678.4 - 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 1678.4 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 1678.4, so we can write it down as 100%=1678.4.
4. We know, that x% equals 65.94 of the output value, so we can write it down as x%=65.94.
5. Now we have two simple equations:
1) 100%=1678.4
2) x%=65.94
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%=1678.4/65.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.94 is what percent of 1678.4

100%/x%=1678.4/65.94
(100/x)*x=(1678.4/65.94)*x       - we multiply both sides of the equation by x
100=25.453442523506*x       - we divide both sides of the equation by (25.453442523506) to get x
100/25.453442523506=x
3.9287416587226=x
x=3.9287416587226

now we have:
65.94 is 3.9287416587226% of 1678.4