What is 7.15 percent of 46300.8 - 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 46300.8 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 46300.8 is 100%, so we can write it down as 46300.8=100%.
4. We know, that x is 7.15% of the output value, so we can write it down as x=7.15%.
5. Now we have two simple equations:
1) 46300.8=100%
2) x=7.15%
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:
46300.8/x=100%/7.15%
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 7.15% of 46300.8

46300.8/x=100/7.15
(46300.8/x)*x=(100/7.15)*x       - we multiply both sides of the equation by x
46300.8=13.986013986014*x       - we divide both sides of the equation by (13.986013986014) to get x
46300.8/13.986013986014=x
3310.5072=x
x=3310.5072

now we have:
7.15% of 46300.8=3310.5072