12.75 is what percent of 1402.75 - 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 1402.75 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 1402.75, so we can write it down as 100%=1402.75.
4. We know, that x% equals 12.75 of the output value, so we can write it down as x%=12.75.
5. Now we have two simple equations:
1) 100%=1402.75
2) x%=12.75
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%=1402.75/12.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.75 is what percent of 1402.75

100%/x%=1402.75/12.75
(100/x)*x=(1402.75/12.75)*x       - we multiply both sides of the equation by x
100=110.01960784314*x       - we divide both sides of the equation by (110.01960784314) to get x
100/110.01960784314=x
0.90892888968098=x
x=0.90892888968098

now we have:
12.75 is 0.90892888968098% of 1402.75