700.16 is what percent of 3.793 - 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 3.793 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 3.793, so we can write it down as 100%=3.793.
4. We know, that x% equals 700.16 of the output value, so we can write it down as x%=700.16.
5. Now we have two simple equations:
1) 100%=3.793
2) x%=700.16
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%=3.793/700.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 700.16 is what percent of 3.793

100%/x%=3.793/700.16
(100/x)*x=(3.793/700.16)*x       - we multiply both sides of the equation by x
100=0.0054173331809872*x       - we divide both sides of the equation by (0.0054173331809872) to get x
100/0.0054173331809872=x
18459.26707092=x
x=18459.26707092

now we have:
700.16 is 18459.26707092% of 3.793