6.94 is what percent of 18.64 - 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 18.64 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 18.64, so we can write it down as 100%=18.64.
4. We know, that x% equals 6.94 of the output value, so we can write it down as x%=6.94.
5. Now we have two simple equations:
1) 100%=18.64
2) x%=6.94
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%=18.64/6.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.94 is what percent of 18.64

100%/x%=18.64/6.94
(100/x)*x=(18.64/6.94)*x       - we multiply both sides of the equation by x
100=2.685878962536*x       - we divide both sides of the equation by (2.685878962536) to get x
100/2.685878962536=x
37.231759656652=x
x=37.231759656652

now we have:
6.94 is 37.231759656652% of 18.64