994.49 is what percent of 2942 - 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 2942 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 2942, so we can write it down as 100%=2942.
4. We know, that x% equals 994.49 of the output value, so we can write it down as x%=994.49.
5. Now we have two simple equations:
1) 100%=2942
2) x%=994.49
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%=2942/994.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 994.49 is what percent of 2942

100%/x%=2942/994.49
(100/x)*x=(2942/994.49)*x       - we multiply both sides of the equation by x
100=2.9583002342909*x       - we divide both sides of the equation by (2.9583002342909) to get x
100/2.9583002342909=x
33.80319510537=x
x=33.80319510537

now we have:
994.49 is 33.80319510537% of 2942