4299.75 is what percent of 6438.5 - 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 6438.5 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 6438.5, so we can write it down as 100%=6438.5.
4. We know, that x% equals 4299.75 of the output value, so we can write it down as x%=4299.75.
5. Now we have two simple equations:
1) 100%=6438.5
2) x%=4299.75
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%=6438.5/4299.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4299.75 is what percent of 6438.5

100%/x%=6438.5/4299.75
(100/x)*x=(6438.5/4299.75)*x       - we multiply both sides of the equation by x
100=1.4974126402698*x       - we divide both sides of the equation by (1.4974126402698) to get x
100/1.4974126402698=x
66.781859128679=x
x=66.781859128679

now we have:
4299.75 is 66.781859128679% of 6438.5