269.75 is what percent of 274.74 - 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 274.74 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 274.74, so we can write it down as 100%=274.74.
4. We know, that x% equals 269.75 of the output value, so we can write it down as x%=269.75.
5. Now we have two simple equations:
1) 100%=274.74
2) x%=269.75
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%=274.74/269.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 269.75 is what percent of 274.74

100%/x%=274.74/269.75
(100/x)*x=(274.74/269.75)*x       - we multiply both sides of the equation by x
100=1.0184986098239*x       - we divide both sides of the equation by (1.0184986098239) to get x
100/1.0184986098239=x
98.183737351678=x
x=98.183737351678

now we have:
269.75 is 98.183737351678% of 274.74