300.2 is what percent of 315 - 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 315 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 315, so we can write it down as 100%=315.
4. We know, that x% equals 300.2 of the output value, so we can write it down as x%=300.2.
5. Now we have two simple equations:
1) 100%=315
2) x%=300.2
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%=315/300.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 300.2 is what percent of 315

100%/x%=315/300.2
(100/x)*x=(315/300.2)*x       - we multiply both sides of the equation by x
100=1.0493004663558*x       - we divide both sides of the equation by (1.0493004663558) to get x
100/1.0493004663558=x
95.301587301587=x
x=95.301587301587

now we have:
300.2 is 95.301587301587% of 315