455.81 is what percent of 15.62 - 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 15.62 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 15.62, so we can write it down as 100%=15.62.
4. We know, that x% equals 455.81 of the output value, so we can write it down as x%=455.81.
5. Now we have two simple equations:
1) 100%=15.62
2) x%=455.81
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%=15.62/455.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 455.81 is what percent of 15.62

100%/x%=15.62/455.81
(100/x)*x=(15.62/455.81)*x       - we multiply both sides of the equation by x
100=0.034268664575152*x       - we divide both sides of the equation by (0.034268664575152) to get x
100/0.034268664575152=x
2918.1177976953=x
x=2918.1177976953

now we have:
455.81 is 2918.1177976953% of 15.62