694.85 is what percent of 1600 - 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 1600 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 1600, so we can write it down as 100%=1600.
4. We know, that x% equals 694.85 of the output value, so we can write it down as x%=694.85.
5. Now we have two simple equations:
1) 100%=1600
2) x%=694.85
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%=1600/694.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 694.85 is what percent of 1600

100%/x%=1600/694.85
(100/x)*x=(1600/694.85)*x       - we multiply both sides of the equation by x
100=2.3026552493344*x       - we divide both sides of the equation by (2.3026552493344) to get x
100/2.3026552493344=x
43.428125=x
x=43.428125

now we have:
694.85 is 43.428125% of 1600