689.02 is what percent of 4091.94 - 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 4091.94 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 4091.94, so we can write it down as 100%=4091.94.
4. We know, that x% equals 689.02 of the output value, so we can write it down as x%=689.02.
5. Now we have two simple equations:
1) 100%=4091.94
2) x%=689.02
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%=4091.94/689.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 689.02 is what percent of 4091.94

100%/x%=4091.94/689.02
(100/x)*x=(4091.94/689.02)*x       - we multiply both sides of the equation by x
100=5.9387826187919*x       - we divide both sides of the equation by (5.9387826187919) to get x
100/5.9387826187919=x
16.838467817221=x
x=16.838467817221

now we have:
689.02 is 16.838467817221% of 4091.94