What is 2400 percent of 6.875 - 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 6.875 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 6.875 is 100%, so we can write it down as 6.875=100%.
4. We know, that x is 2400% of the output value, so we can write it down as x=2400%.
5. Now we have two simple equations:
1) 6.875=100%
2) x=2400%
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:
6.875/x=100%/2400%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 2400% of 6.875

6.875/x=100/2400
(6.875/x)*x=(100/2400)*x       - we multiply both sides of the equation by x
6.875=0.041666666666667*x       - we divide both sides of the equation by (0.041666666666667) to get x
6.875/0.041666666666667=x
165=x
x=165

now we have:
2400% of 6.875=165