8.62 is what percent of 431.1 - 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 431.1 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 431.1, so we can write it down as 100%=431.1.
4. We know, that x% equals 8.62 of the output value, so we can write it down as x%=8.62.
5. Now we have two simple equations:
1) 100%=431.1
2) x%=8.62
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%=431.1/8.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.62 is what percent of 431.1

100%/x%=431.1/8.62
(100/x)*x=(431.1/8.62)*x       - we multiply both sides of the equation by x
100=50.011600928074*x       - we divide both sides of the equation by (50.011600928074) to get x
100/50.011600928074=x
1.9995360705173=x
x=1.9995360705173

now we have:
8.62 is 1.9995360705173% of 431.1