8435.32 is what percent of 12000.28 - 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 12000.28 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 12000.28, so we can write it down as 100%=12000.28.
4. We know, that x% equals 8435.32 of the output value, so we can write it down as x%=8435.32.
5. Now we have two simple equations:
1) 100%=12000.28
2) x%=8435.32
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%=12000.28/8435.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8435.32 is what percent of 12000.28

100%/x%=12000.28/8435.32
(100/x)*x=(12000.28/8435.32)*x       - we multiply both sides of the equation by x
100=1.4226229710313*x       - we divide both sides of the equation by (1.4226229710313) to get x
100/1.4226229710313=x
70.292693170493=x
x=70.292693170493

now we have:
8435.32 is 70.292693170493% of 12000.28