269.48 is what percent of 346.97 - 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 346.97 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 346.97, so we can write it down as 100%=346.97.
4. We know, that x% equals 269.48 of the output value, so we can write it down as x%=269.48.
5. Now we have two simple equations:
1) 100%=346.97
2) x%=269.48
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%=346.97/269.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 269.48 is what percent of 346.97

100%/x%=346.97/269.48
(100/x)*x=(346.97/269.48)*x       - we multiply both sides of the equation by x
100=1.2875538073326*x       - we divide both sides of the equation by (1.2875538073326) to get x
100/1.2875538073326=x
77.666657059688=x
x=77.666657059688

now we have:
269.48 is 77.666657059688% of 346.97