4295.78 is what percent of 6500 - 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 6500 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 6500, so we can write it down as 100%=6500.
4. We know, that x% equals 4295.78 of the output value, so we can write it down as x%=4295.78.
5. Now we have two simple equations:
1) 100%=6500
2) x%=4295.78
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%=6500/4295.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4295.78 is what percent of 6500

100%/x%=6500/4295.78
(100/x)*x=(6500/4295.78)*x       - we multiply both sides of the equation by x
100=1.5131128689086*x       - we divide both sides of the equation by (1.5131128689086) to get x
100/1.5131128689086=x
66.088923076923=x
x=66.088923076923

now we have:
4295.78 is 66.088923076923% of 6500