798.35 is what percent of 2943.4 - 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 2943.4 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 2943.4, so we can write it down as 100%=2943.4.
4. We know, that x% equals 798.35 of the output value, so we can write it down as x%=798.35.
5. Now we have two simple equations:
1) 100%=2943.4
2) x%=798.35
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%=2943.4/798.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 798.35 is what percent of 2943.4

100%/x%=2943.4/798.35
(100/x)*x=(2943.4/798.35)*x       - we multiply both sides of the equation by x
100=3.6868541366569*x       - we divide both sides of the equation by (3.6868541366569) to get x
100/3.6868541366569=x
27.123394713597=x
x=27.123394713597

now we have:
798.35 is 27.123394713597% of 2943.4