280.09 is what percent of 1198.98 - 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 1198.98 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 1198.98, so we can write it down as 100%=1198.98.
4. We know, that x% equals 280.09 of the output value, so we can write it down as x%=280.09.
5. Now we have two simple equations:
1) 100%=1198.98
2) x%=280.09
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%=1198.98/280.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 280.09 is what percent of 1198.98

100%/x%=1198.98/280.09
(100/x)*x=(1198.98/280.09)*x       - we multiply both sides of the equation by x
100=4.2806954907351*x       - we divide both sides of the equation by (4.2806954907351) to get x
100/4.2806954907351=x
23.360689919765=x
x=23.360689919765

now we have:
280.09 is 23.360689919765% of 1198.98