What is 1.48 percent of 199.14 - 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 199.14 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 199.14 is 100%, so we can write it down as 199.14=100%.
4. We know, that x is 1.48% of the output value, so we can write it down as x=1.48%.
5. Now we have two simple equations:
1) 199.14=100%
2) x=1.48%
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:
199.14/x=100%/1.48%
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 1.48% of 199.14

199.14/x=100/1.48
(199.14/x)*x=(100/1.48)*x       - we multiply both sides of the equation by x
199.14=67.567567567568*x       - we divide both sides of the equation by (67.567567567568) to get x
199.14/67.567567567568=x
2.947272=x
x=2.947272

now we have:
1.48% of 199.14=2.947272