369.93 is what percent of 2874.24 - 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 2874.24 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 2874.24, so we can write it down as 100%=2874.24.
4. We know, that x% equals 369.93 of the output value, so we can write it down as x%=369.93.
5. Now we have two simple equations:
1) 100%=2874.24
2) x%=369.93
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%=2874.24/369.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 369.93 is what percent of 2874.24

100%/x%=2874.24/369.93
(100/x)*x=(2874.24/369.93)*x       - we multiply both sides of the equation by x
100=7.7696861568405*x       - we divide both sides of the equation by (7.7696861568405) to get x
100/7.7696861568405=x
12.870532732131=x
x=12.870532732131

now we have:
369.93 is 12.870532732131% of 2874.24