What is 24 percent of 1142.4 - 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 1142.4 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 1142.4 is 100%, so we can write it down as 1142.4=100%.
4. We know, that x is 24% of the output value, so we can write it down as x=24%.
5. Now we have two simple equations:
1) 1142.4=100%
2) x=24%
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:
1142.4/x=100%/24%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 24% of 1142.4

1142.4/x=100/24
(1142.4/x)*x=(100/24)*x       - we multiply both sides of the equation by x
1142.4=4.1666666666667*x       - we divide both sides of the equation by (4.1666666666667) to get x
1142.4/4.1666666666667=x
274.176=x
x=274.176

now we have:
24% of 1142.4=274.176