27.98 is what percent of 323.13 - 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 323.13 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 323.13, so we can write it down as 100%=323.13.
4. We know, that x% equals 27.98 of the output value, so we can write it down as x%=27.98.
5. Now we have two simple equations:
1) 100%=323.13
2) x%=27.98
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%=323.13/27.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.98 is what percent of 323.13

100%/x%=323.13/27.98
(100/x)*x=(323.13/27.98)*x       - we multiply both sides of the equation by x
100=11.548606147248*x       - we divide both sides of the equation by (11.548606147248) to get x
100/11.548606147248=x
8.6590536316653=x
x=8.6590536316653

now we have:
27.98 is 8.6590536316653% of 323.13