785.5 is what percent of 12.45 - 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 12.45 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 12.45, so we can write it down as 100%=12.45.
4. We know, that x% equals 785.5 of the output value, so we can write it down as x%=785.5.
5. Now we have two simple equations:
1) 100%=12.45
2) x%=785.5
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%=12.45/785.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 785.5 is what percent of 12.45

100%/x%=12.45/785.5
(100/x)*x=(12.45/785.5)*x       - we multiply both sides of the equation by x
100=0.015849777211967*x       - we divide both sides of the equation by (0.015849777211967) to get x
100/0.015849777211967=x
6309.2369477912=x
x=6309.2369477912

now we have:
785.5 is 6309.2369477912% of 12.45