788.04 is what percent of 1699 - 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 1699 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 1699, so we can write it down as 100%=1699.
4. We know, that x% equals 788.04 of the output value, so we can write it down as x%=788.04.
5. Now we have two simple equations:
1) 100%=1699
2) x%=788.04
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%=1699/788.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 788.04 is what percent of 1699

100%/x%=1699/788.04
(100/x)*x=(1699/788.04)*x       - we multiply both sides of the equation by x
100=2.1559819298513*x       - we divide both sides of the equation by (2.1559819298513) to get x
100/2.1559819298513=x
46.382577987051=x
x=46.382577987051

now we have:
788.04 is 46.382577987051% of 1699