22.67 is what percent of 269.84 - 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 269.84 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 269.84, so we can write it down as 100%=269.84.
4. We know, that x% equals 22.67 of the output value, so we can write it down as x%=22.67.
5. Now we have two simple equations:
1) 100%=269.84
2) x%=22.67
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%=269.84/22.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.67 is what percent of 269.84

100%/x%=269.84/22.67
(100/x)*x=(269.84/22.67)*x       - we multiply both sides of the equation by x
100=11.902955447728*x       - we divide both sides of the equation by (11.902955447728) to get x
100/11.902955447728=x
8.4012748295286=x
x=8.4012748295286

now we have:
22.67 is 8.4012748295286% of 269.84