14.35 is what percent of 1062.75 - 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 1062.75 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 1062.75, so we can write it down as 100%=1062.75.
4. We know, that x% equals 14.35 of the output value, so we can write it down as x%=14.35.
5. Now we have two simple equations:
1) 100%=1062.75
2) x%=14.35
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%=1062.75/14.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.35 is what percent of 1062.75

100%/x%=1062.75/14.35
(100/x)*x=(1062.75/14.35)*x       - we multiply both sides of the equation by x
100=74.059233449477*x       - we divide both sides of the equation by (74.059233449477) to get x
100/74.059233449477=x
1.3502705245825=x
x=1.3502705245825

now we have:
14.35 is 1.3502705245825% of 1062.75