What is 102.1 percent of 434.2 - 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 434.2 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 434.2 is 100%, so we can write it down as 434.2=100%.
4. We know, that x is 102.1% of the output value, so we can write it down as x=102.1%.
5. Now we have two simple equations:
1) 434.2=100%
2) x=102.1%
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:
434.2/x=100%/102.1%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 102.1% of 434.2

434.2/x=100/102.1
(434.2/x)*x=(100/102.1)*x       - we multiply both sides of the equation by x
434.2=0.9794319294809*x       - we divide both sides of the equation by (0.9794319294809) to get x
434.2/0.9794319294809=x
443.3182=x
x=443.3182

now we have:
102.1% of 434.2=443.3182