3428.98 is what percent of 8642.18 - 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 8642.18 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 8642.18, so we can write it down as 100%=8642.18.
4. We know, that x% equals 3428.98 of the output value, so we can write it down as x%=3428.98.
5. Now we have two simple equations:
1) 100%=8642.18
2) x%=3428.98
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%=8642.18/3428.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3428.98 is what percent of 8642.18

100%/x%=8642.18/3428.98
(100/x)*x=(8642.18/3428.98)*x       - we multiply both sides of the equation by x
100=2.5203354933537*x       - we divide both sides of the equation by (2.5203354933537) to get x
100/2.5203354933537=x
39.677257358676=x
x=39.677257358676

now we have:
3428.98 is 39.677257358676% of 8642.18