296.1 is what percent of 984.5 - 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 984.5 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 984.5, so we can write it down as 100%=984.5.
4. We know, that x% equals 296.1 of the output value, so we can write it down as x%=296.1.
5. Now we have two simple equations:
1) 100%=984.5
2) x%=296.1
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%=984.5/296.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 296.1 is what percent of 984.5

100%/x%=984.5/296.1
(100/x)*x=(984.5/296.1)*x       - we multiply both sides of the equation by x
100=3.32489023978*x       - we divide both sides of the equation by (3.32489023978) to get x
100/3.32489023978=x
30.0761808024=x
x=30.0761808024

now we have:
296.1 is 30.0761808024% of 984.5