430.8 is what percent of 1409.2 - 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 1409.2 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 1409.2, so we can write it down as 100%=1409.2.
4. We know, that x% equals 430.8 of the output value, so we can write it down as x%=430.8.
5. Now we have two simple equations:
1) 100%=1409.2
2) x%=430.8
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%=1409.2/430.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 430.8 is what percent of 1409.2

100%/x%=1409.2/430.8
(100/x)*x=(1409.2/430.8)*x       - we multiply both sides of the equation by x
100=3.2711234911792*x       - we divide both sides of the equation by (3.2711234911792) to get x
100/3.2711234911792=x
30.570536474596=x
x=30.570536474596

now we have:
430.8 is 30.570536474596% of 1409.2