6435.48 is what percent of 18200 - 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 18200 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 18200, so we can write it down as 100%=18200.
4. We know, that x% equals 6435.48 of the output value, so we can write it down as x%=6435.48.
5. Now we have two simple equations:
1) 100%=18200
2) x%=6435.48
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%=18200/6435.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6435.48 is what percent of 18200

100%/x%=18200/6435.48
(100/x)*x=(18200/6435.48)*x       - we multiply both sides of the equation by x
100=2.8280718765345*x       - we divide both sides of the equation by (2.8280718765345) to get x
100/2.8280718765345=x
35.35978021978=x
x=35.35978021978

now we have:
6435.48 is 35.35978021978% of 18200