What is 2.62 percent of 6875 - 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 6875 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 6875 is 100%, so we can write it down as 6875=100%.
4. We know, that x is 2.62% of the output value, so we can write it down as x=2.62%.
5. Now we have two simple equations:
1) 6875=100%
2) x=2.62%
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:
6875/x=100%/2.62%
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 2.62% of 6875

6875/x=100/2.62
(6875/x)*x=(100/2.62)*x       - we multiply both sides of the equation by x
6875=38.167938931298*x       - we divide both sides of the equation by (38.167938931298) to get x
6875/38.167938931298=x
180.125=x
x=180.125

now we have:
2.62% of 6875=180.125