What is 2375 percent of 6700 - 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 6700 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 6700 is 100%, so we can write it down as 6700=100%.
4. We know, that x is 2375% of the output value, so we can write it down as x=2375%.
5. Now we have two simple equations:
1) 6700=100%
2) x=2375%
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:
6700/x=100%/2375%
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 2375% of 6700

6700/x=100/2375
(6700/x)*x=(100/2375)*x       - we multiply both sides of the equation by x
6700=0.042105263157895*x       - we divide both sides of the equation by (0.042105263157895) to get x
6700/0.042105263157895=x
159125=x
x=159125

now we have:
2375% of 6700=159125