2943.42 is what percent of 30435.43 - 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 30435.43 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 30435.43, so we can write it down as 100%=30435.43.
4. We know, that x% equals 2943.42 of the output value, so we can write it down as x%=2943.42.
5. Now we have two simple equations:
1) 100%=30435.43
2) x%=2943.42
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%=30435.43/2943.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2943.42 is what percent of 30435.43

100%/x%=30435.43/2943.42
(100/x)*x=(30435.43/2943.42)*x       - we multiply both sides of the equation by x
100=10.340158726923*x       - we divide both sides of the equation by (10.340158726923) to get x
100/10.340158726923=x
9.6710314262029=x
x=9.6710314262029

now we have:
2943.42 is 9.6710314262029% of 30435.43