1022.3 is what percent of 869.5 - 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 869.5 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 869.5, so we can write it down as 100%=869.5.
4. We know, that x% equals 1022.3 of the output value, so we can write it down as x%=1022.3.
5. Now we have two simple equations:
1) 100%=869.5
2) x%=1022.3
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%=869.5/1022.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1022.3 is what percent of 869.5

100%/x%=869.5/1022.3
(100/x)*x=(869.5/1022.3)*x       - we multiply both sides of the equation by x
100=0.85053311161107*x       - we divide both sides of the equation by (0.85053311161107) to get x
100/0.85053311161107=x
117.57331799885=x
x=117.57331799885

now we have:
1022.3 is 117.57331799885% of 869.5