437.35 is what percent of 6926.77 - 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 6926.77 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 6926.77, so we can write it down as 100%=6926.77.
4. We know, that x% equals 437.35 of the output value, so we can write it down as x%=437.35.
5. Now we have two simple equations:
1) 100%=6926.77
2) x%=437.35
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%=6926.77/437.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 437.35 is what percent of 6926.77

100%/x%=6926.77/437.35
(100/x)*x=(6926.77/437.35)*x       - we multiply both sides of the equation by x
100=15.838047330513*x       - we divide both sides of the equation by (15.838047330513) to get x
100/15.838047330513=x
6.3139096577481=x
x=6.3139096577481

now we have:
437.35 is 6.3139096577481% of 6926.77