435.35 is what percent of 3.264 - 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 3.264 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 3.264, so we can write it down as 100%=3.264.
4. We know, that x% equals 435.35 of the output value, so we can write it down as x%=435.35.
5. Now we have two simple equations:
1) 100%=3.264
2) x%=435.35
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%=3.264/435.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 435.35 is what percent of 3.264

100%/x%=3.264/435.35
(100/x)*x=(3.264/435.35)*x       - we multiply both sides of the equation by x
100=0.0074974158722867*x       - we divide both sides of the equation by (0.0074974158722867) to get x
100/0.0074974158722867=x
13337.928921569=x
x=13337.928921569

now we have:
435.35 is 13337.928921569% of 3.264