1635.55 is what percent of 1688.85 - 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 1688.85 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 1688.85, so we can write it down as 100%=1688.85.
4. We know, that x% equals 1635.55 of the output value, so we can write it down as x%=1635.55.
5. Now we have two simple equations:
1) 100%=1688.85
2) x%=1635.55
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%=1688.85/1635.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1635.55 is what percent of 1688.85

100%/x%=1688.85/1635.55
(100/x)*x=(1688.85/1635.55)*x       - we multiply both sides of the equation by x
100=1.0325884259118*x       - we divide both sides of the equation by (1.0325884259118) to get x
100/1.0325884259118=x
96.84400627646=x
x=96.84400627646

now we have:
1635.55 is 96.84400627646% of 1688.85