1148.4 is what percent of 17844.04 - 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 17844.04 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 17844.04, so we can write it down as 100%=17844.04.
4. We know, that x% equals 1148.4 of the output value, so we can write it down as x%=1148.4.
5. Now we have two simple equations:
1) 100%=17844.04
2) x%=1148.4
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%=17844.04/1148.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1148.4 is what percent of 17844.04

100%/x%=17844.04/1148.4
(100/x)*x=(17844.04/1148.4)*x       - we multiply both sides of the equation by x
100=15.538174851968*x       - we divide both sides of the equation by (15.538174851968) to get x
100/15.538174851968=x
6.4357623049489=x
x=6.4357623049489

now we have:
1148.4 is 6.4357623049489% of 17844.04