245.38 is what percent of 2307.69 - 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 2307.69 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 2307.69, so we can write it down as 100%=2307.69.
4. We know, that x% equals 245.38 of the output value, so we can write it down as x%=245.38.
5. Now we have two simple equations:
1) 100%=2307.69
2) x%=245.38
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%=2307.69/245.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 245.38 is what percent of 2307.69

100%/x%=2307.69/245.38
(100/x)*x=(2307.69/245.38)*x       - we multiply both sides of the equation by x
100=9.4045561985492*x       - we divide both sides of the equation by (9.4045561985492) to get x
100/9.4045561985492=x
10.633143966477=x
x=10.633143966477

now we have:
245.38 is 10.633143966477% of 2307.69