198.98 is what percent of 1500 - 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 1500 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 1500, so we can write it down as 100%=1500.
4. We know, that x% equals 198.98 of the output value, so we can write it down as x%=198.98.
5. Now we have two simple equations:
1) 100%=1500
2) x%=198.98
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%=1500/198.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 198.98 is what percent of 1500

100%/x%=1500/198.98
(100/x)*x=(1500/198.98)*x       - we multiply both sides of the equation by x
100=7.5384460749824*x       - we divide both sides of the equation by (7.5384460749824) to get x
100/7.5384460749824=x
13.265333333333=x
x=13.265333333333

now we have:
198.98 is 13.265333333333% of 1500