269.9 is what percent of 284.4 - 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 284.4 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 284.4, so we can write it down as 100%=284.4.
4. We know, that x% equals 269.9 of the output value, so we can write it down as x%=269.9.
5. Now we have two simple equations:
1) 100%=284.4
2) x%=269.9
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%=284.4/269.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 269.9 is what percent of 284.4

100%/x%=284.4/269.9
(100/x)*x=(284.4/269.9)*x       - we multiply both sides of the equation by x
100=1.0537236013338*x       - we divide both sides of the equation by (1.0537236013338) to get x
100/1.0537236013338=x
94.901547116737=x
x=94.901547116737

now we have:
269.9 is 94.901547116737% of 284.4