42.68 is what percent of 645.37 - 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 645.37 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 645.37, so we can write it down as 100%=645.37.
4. We know, that x% equals 42.68 of the output value, so we can write it down as x%=42.68.
5. Now we have two simple equations:
1) 100%=645.37
2) x%=42.68
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%=645.37/42.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.68 is what percent of 645.37

100%/x%=645.37/42.68
(100/x)*x=(645.37/42.68)*x       - we multiply both sides of the equation by x
100=15.121134020619*x       - we divide both sides of the equation by (15.121134020619) to get x
100/15.121134020619=x
6.6132606101926=x
x=6.6132606101926

now we have:
42.68 is 6.6132606101926% of 645.37