What is 2.4 percent of 7138 - 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 7138 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 7138 is 100%, so we can write it down as 7138=100%.
4. We know, that x is 2.4% of the output value, so we can write it down as x=2.4%.
5. Now we have two simple equations:
1) 7138=100%
2) x=2.4%
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:
7138/x=100%/2.4%
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 2.4% of 7138

7138/x=100/2.4
(7138/x)*x=(100/2.4)*x       - we multiply both sides of the equation by x
7138=41.666666666667*x       - we divide both sides of the equation by (41.666666666667) to get x
7138/41.666666666667=x
171.312=x
x=171.312

now we have:
2.4% of 7138=171.312