1037.45 is what percent of 10.425 - 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 10.425 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 10.425, so we can write it down as 100%=10.425.
4. We know, that x% equals 1037.45 of the output value, so we can write it down as x%=1037.45.
5. Now we have two simple equations:
1) 100%=10.425
2) x%=1037.45
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%=10.425/1037.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1037.45 is what percent of 10.425

100%/x%=10.425/1037.45
(100/x)*x=(10.425/1037.45)*x       - we multiply both sides of the equation by x
100=0.010048677044677*x       - we divide both sides of the equation by (0.010048677044677) to get x
100/0.010048677044677=x
9951.5587529976=x
x=9951.5587529976

now we have:
1037.45 is 9951.5587529976% of 10.425