40.14 is what percent of 647.46 - 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 647.46 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 647.46, so we can write it down as 100%=647.46.
4. We know, that x% equals 40.14 of the output value, so we can write it down as x%=40.14.
5. Now we have two simple equations:
1) 100%=647.46
2) x%=40.14
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%=647.46/40.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.14 is what percent of 647.46

100%/x%=647.46/40.14
(100/x)*x=(647.46/40.14)*x       - we multiply both sides of the equation by x
100=16.130044843049*x       - we divide both sides of the equation by (16.130044843049) to get x
100/16.130044843049=x
6.1996107867667=x
x=6.1996107867667

now we have:
40.14 is 6.1996107867667% of 647.46