What is 7.6 percent of 45900 - 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 45900 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 45900 is 100%, so we can write it down as 45900=100%.
4. We know, that x is 7.6% of the output value, so we can write it down as x=7.6%.
5. Now we have two simple equations:
1) 45900=100%
2) x=7.6%
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:
45900/x=100%/7.6%
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 7.6% of 45900

45900/x=100/7.6
(45900/x)*x=(100/7.6)*x       - we multiply both sides of the equation by x
45900=13.1578947368*x       - we divide both sides of the equation by (13.1578947368) to get x
45900/13.1578947368=x
3488.4=x
x=3488.4

now we have:
7.6% of 45900=3488.4