382.2 is what percent of 430.9 - 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 430.9 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 430.9, so we can write it down as 100%=430.9.
4. We know, that x% equals 382.2 of the output value, so we can write it down as x%=382.2.
5. Now we have two simple equations:
1) 100%=430.9
2) x%=382.2
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%=430.9/382.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 382.2 is what percent of 430.9

100%/x%=430.9/382.2
(100/x)*x=(430.9/382.2)*x       - we multiply both sides of the equation by x
100=1.1274201988488*x       - we divide both sides of the equation by (1.1274201988488) to get x
100/1.1274201988488=x
88.698073799025=x
x=88.698073799025

now we have:
382.2 is 88.698073799025% of 430.9