12.35 is what percent of 1775.5 - 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 1775.5 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 1775.5, so we can write it down as 100%=1775.5.
4. We know, that x% equals 12.35 of the output value, so we can write it down as x%=12.35.
5. Now we have two simple equations:
1) 100%=1775.5
2) x%=12.35
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%=1775.5/12.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.35 is what percent of 1775.5

100%/x%=1775.5/12.35
(100/x)*x=(1775.5/12.35)*x       - we multiply both sides of the equation by x
100=143.76518218623*x       - we divide both sides of the equation by (143.76518218623) to get x
100/143.76518218623=x
0.69557871022247=x
x=0.69557871022247

now we have:
12.35 is 0.69557871022247% of 1775.5