What is 6700 percent of 13800 - 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 13800 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 13800 is 100%, so we can write it down as 13800=100%.
4. We know, that x is 6700% of the output value, so we can write it down as x=6700%.
5. Now we have two simple equations:
1) 13800=100%
2) x=6700%
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:
13800/x=100%/6700%
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 6700% of 13800

13800/x=100/6700
(13800/x)*x=(100/6700)*x       - we multiply both sides of the equation by x
13800=0.014925373134328*x       - we divide both sides of the equation by (0.014925373134328) to get x
13800/0.014925373134328=x
924600=x
x=924600

now we have:
6700% of 13800=924600