300.58 is what percent of 2405 - 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 2405 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 2405, so we can write it down as 100%=2405.
4. We know, that x% equals 300.58 of the output value, so we can write it down as x%=300.58.
5. Now we have two simple equations:
1) 100%=2405
2) x%=300.58
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%=2405/300.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 300.58 is what percent of 2405

100%/x%=2405/300.58
(100/x)*x=(2405/300.58)*x       - we multiply both sides of the equation by x
100=8.0011976844767*x       - we divide both sides of the equation by (8.0011976844767) to get x
100/8.0011976844767=x
12.498128898129=x
x=12.498128898129

now we have:
300.58 is 12.498128898129% of 2405