300.06 is what percent of 6398.3 - 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 6398.3 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 6398.3, so we can write it down as 100%=6398.3.
4. We know, that x% equals 300.06 of the output value, so we can write it down as x%=300.06.
5. Now we have two simple equations:
1) 100%=6398.3
2) x%=300.06
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%=6398.3/300.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 300.06 is what percent of 6398.3

100%/x%=6398.3/300.06
(100/x)*x=(6398.3/300.06)*x       - we multiply both sides of the equation by x
100=21.323401986269*x       - we divide both sides of the equation by (21.323401986269) to get x
100/21.323401986269=x
4.6896831970992=x
x=4.6896831970992

now we have:
300.06 is 4.6896831970992% of 6398.3