6837.4 is what percent of 6880 - 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 6880 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 6880, so we can write it down as 100%=6880.
4. We know, that x% equals 6837.4 of the output value, so we can write it down as x%=6837.4.
5. Now we have two simple equations:
1) 100%=6880
2) x%=6837.4
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%=6880/6837.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6837.4 is what percent of 6880

100%/x%=6880/6837.4
(100/x)*x=(6880/6837.4)*x       - we multiply both sides of the equation by x
100=1.0062304384708*x       - we divide both sides of the equation by (1.0062304384708) to get x
100/1.0062304384708=x
99.380813953488=x
x=99.380813953488

now we have:
6837.4 is 99.380813953488% of 6880