275.45 is what percent of 2324.17 - 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 2324.17 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 2324.17, so we can write it down as 100%=2324.17.
4. We know, that x% equals 275.45 of the output value, so we can write it down as x%=275.45.
5. Now we have two simple equations:
1) 100%=2324.17
2) x%=275.45
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%=2324.17/275.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 275.45 is what percent of 2324.17

100%/x%=2324.17/275.45
(100/x)*x=(2324.17/275.45)*x       - we multiply both sides of the equation by x
100=8.437720094391*x       - we divide both sides of the equation by (8.437720094391) to get x
100/8.437720094391=x
11.851542701265=x
x=11.851542701265

now we have:
275.45 is 11.851542701265% of 2324.17