What is 500.42 percent of 500.14 - 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 500.14 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 500.14 is 100%, so we can write it down as 500.14=100%.
4. We know, that x is 500.42% of the output value, so we can write it down as x=500.42%.
5. Now we have two simple equations:
1) 500.14=100%
2) x=500.42%
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:
500.14/x=100%/500.42%
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 500.42% of 500.14

500.14/x=100/500.42
(500.14/x)*x=(100/500.42)*x       - we multiply both sides of the equation by x
500.14=0.19983214100156*x       - we divide both sides of the equation by (0.19983214100156) to get x
500.14/0.19983214100156=x
2502.800588=x
x=2502.800588

now we have:
500.42% of 500.14=2502.800588