280.93 is what percent of 1149.49 - 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 1149.49 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 1149.49, so we can write it down as 100%=1149.49.
4. We know, that x% equals 280.93 of the output value, so we can write it down as x%=280.93.
5. Now we have two simple equations:
1) 100%=1149.49
2) x%=280.93
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%=1149.49/280.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 280.93 is what percent of 1149.49

100%/x%=1149.49/280.93
(100/x)*x=(1149.49/280.93)*x       - we multiply both sides of the equation by x
100=4.0917310362012*x       - we divide both sides of the equation by (4.0917310362012) to get x
100/4.0917310362012=x
24.439534054233=x
x=24.439534054233

now we have:
280.93 is 24.439534054233% of 1149.49