1069.34 is what percent of 1290.45 - 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 1290.45 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 1290.45, so we can write it down as 100%=1290.45.
4. We know, that x% equals 1069.34 of the output value, so we can write it down as x%=1069.34.
5. Now we have two simple equations:
1) 100%=1290.45
2) x%=1069.34
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%=1290.45/1069.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1069.34 is what percent of 1290.45

100%/x%=1290.45/1069.34
(100/x)*x=(1290.45/1069.34)*x       - we multiply both sides of the equation by x
100=1.2067724016683*x       - we divide both sides of the equation by (1.2067724016683) to get x
100/1.2067724016683=x
82.865667015382=x
x=82.865667015382

now we have:
1069.34 is 82.865667015382% of 1290.45