300.34 is what percent of 9646.85 - 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 9646.85 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 9646.85, so we can write it down as 100%=9646.85.
4. We know, that x% equals 300.34 of the output value, so we can write it down as x%=300.34.
5. Now we have two simple equations:
1) 100%=9646.85
2) x%=300.34
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%=9646.85/300.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 300.34 is what percent of 9646.85

100%/x%=9646.85/300.34
(100/x)*x=(9646.85/300.34)*x       - we multiply both sides of the equation by x
100=32.119764267164*x       - we divide both sides of the equation by (32.119764267164) to get x
100/32.119764267164=x
3.1133478803962=x
x=3.1133478803962

now we have:
300.34 is 3.1133478803962% of 9646.85