2362.92 is what percent of 6751.2 - 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 6751.2 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 6751.2, so we can write it down as 100%=6751.2.
4. We know, that x% equals 2362.92 of the output value, so we can write it down as x%=2362.92.
5. Now we have two simple equations:
1) 100%=6751.2
2) x%=2362.92
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%=6751.2/2362.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2362.92 is what percent of 6751.2

100%/x%=6751.2/2362.92
(100/x)*x=(6751.2/2362.92)*x       - we multiply both sides of the equation by x
100=2.8571428571429*x       - we divide both sides of the equation by (2.8571428571429) to get x
100/2.8571428571429=x
35=x
x=35

now we have:
2362.92 is 35% of 6751.2