437.63 is what percent of 5251.62 - 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 5251.62 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 5251.62, so we can write it down as 100%=5251.62.
4. We know, that x% equals 437.63 of the output value, so we can write it down as x%=437.63.
5. Now we have two simple equations:
1) 100%=5251.62
2) x%=437.63
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%=5251.62/437.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 437.63 is what percent of 5251.62

100%/x%=5251.62/437.63
(100/x)*x=(5251.62/437.63)*x       - we multiply both sides of the equation by x
100=12.000137102118*x       - we divide both sides of the equation by (12.000137102118) to get x
100/12.000137102118=x
8.3332381246168=x
x=8.3332381246168

now we have:
437.63 is 8.3332381246168% of 5251.62