2941.63 is what percent of 42398.13 - 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 42398.13 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 42398.13, so we can write it down as 100%=42398.13.
4. We know, that x% equals 2941.63 of the output value, so we can write it down as x%=2941.63.
5. Now we have two simple equations:
1) 100%=42398.13
2) x%=2941.63
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%=42398.13/2941.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2941.63 is what percent of 42398.13

100%/x%=42398.13/2941.63
(100/x)*x=(42398.13/2941.63)*x       - we multiply both sides of the equation by x
100=14.413141693551*x       - we divide both sides of the equation by (14.413141693551) to get x
100/14.413141693551=x
6.9381126007208=x
x=6.9381126007208

now we have:
2941.63 is 6.9381126007208% of 42398.13