836.94 is what percent of 1607 - 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 1607 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 1607, so we can write it down as 100%=1607.
4. We know, that x% equals 836.94 of the output value, so we can write it down as x%=836.94.
5. Now we have two simple equations:
1) 100%=1607
2) x%=836.94
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%=1607/836.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 836.94 is what percent of 1607

100%/x%=1607/836.94
(100/x)*x=(1607/836.94)*x       - we multiply both sides of the equation by x
100=1.9200898511243*x       - we divide both sides of the equation by (1.9200898511243) to get x
100/1.9200898511243=x
52.080896079652=x
x=52.080896079652

now we have:
836.94 is 52.080896079652% of 1607