64.2 is what percent of 6926.75 - 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 6926.75 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 6926.75, so we can write it down as 100%=6926.75.
4. We know, that x% equals 64.2 of the output value, so we can write it down as x%=64.2.
5. Now we have two simple equations:
1) 100%=6926.75
2) x%=64.2
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%=6926.75/64.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.2 is what percent of 6926.75

100%/x%=6926.75/64.2
(100/x)*x=(6926.75/64.2)*x       - we multiply both sides of the equation by x
100=107.89330218069*x       - we divide both sides of the equation by (107.89330218069) to get x
100/107.89330218069=x
0.92684159237738=x
x=0.92684159237738

now we have:
64.2 is 0.92684159237738% of 6926.75