1689.99 is what percent of 4364.36 - 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 4364.36 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 4364.36, so we can write it down as 100%=4364.36.
4. We know, that x% equals 1689.99 of the output value, so we can write it down as x%=1689.99.
5. Now we have two simple equations:
1) 100%=4364.36
2) x%=1689.99
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%=4364.36/1689.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1689.99 is what percent of 4364.36

100%/x%=4364.36/1689.99
(100/x)*x=(4364.36/1689.99)*x       - we multiply both sides of the equation by x
100=2.58247681939*x       - we divide both sides of the equation by (2.58247681939) to get x
100/2.58247681939=x
38.7225160161=x
x=38.7225160161

now we have:
1689.99 is 38.7225160161% of 4364.36