485.2 is what percent of 1423.1 - 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 1423.1 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 1423.1, so we can write it down as 100%=1423.1.
4. We know, that x% equals 485.2 of the output value, so we can write it down as x%=485.2.
5. Now we have two simple equations:
1) 100%=1423.1
2) x%=485.2
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%=1423.1/485.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 485.2 is what percent of 1423.1

100%/x%=1423.1/485.2
(100/x)*x=(1423.1/485.2)*x       - we multiply both sides of the equation by x
100=2.9330173124485*x       - we divide both sides of the equation by (2.9330173124485) to get x
100/2.9330173124485=x
34.094582250018=x
x=34.094582250018

now we have:
485.2 is 34.094582250018% of 1423.1