275.29 is what percent of 2964.36 - 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 2964.36 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 2964.36, so we can write it down as 100%=2964.36.
4. We know, that x% equals 275.29 of the output value, so we can write it down as x%=275.29.
5. Now we have two simple equations:
1) 100%=2964.36
2) x%=275.29
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%=2964.36/275.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 275.29 is what percent of 2964.36

100%/x%=2964.36/275.29
(100/x)*x=(2964.36/275.29)*x       - we multiply both sides of the equation by x
100=10.768135420829*x       - we divide both sides of the equation by (10.768135420829) to get x
100/10.768135420829=x
9.2866588403568=x
x=9.2866588403568

now we have:
275.29 is 9.2866588403568% of 2964.36