199.8 is what percent of 1.48 - 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 1.48 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 100% equals 1.48, so we can write it down as 100%=1.48.
4. We know, that x% equals 199.8 of the output value, so we can write it down as x%=199.8.
5. Now we have two simple equations:
1) 100%=1.48
2) x%=199.8
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:
100%/x%=1.48/199.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 199.8 is what percent of 1.48

100%/x%=1.48/199.8
(100/x)*x=(1.48/199.8)*x       - we multiply both sides of the equation by x
100=0.0074074074074074*x       - we divide both sides of the equation by (0.0074074074074074) to get x
100/0.0074074074074074=x
13500=x
x=13500

now we have:
199.8 is 13500% of 1.48