1629.17 is what percent of 1685.17 - 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 1685.17 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 1685.17, so we can write it down as 100%=1685.17.
4. We know, that x% equals 1629.17 of the output value, so we can write it down as x%=1629.17.
5. Now we have two simple equations:
1) 100%=1685.17
2) x%=1629.17
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%=1685.17/1629.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1629.17 is what percent of 1685.17

100%/x%=1685.17/1629.17
(100/x)*x=(1685.17/1629.17)*x       - we multiply both sides of the equation by x
100=1.0343733312055*x       - we divide both sides of the equation by (1.0343733312055) to get x
100/1.0343733312055=x
96.676893132444=x
x=96.676893132444

now we have:
1629.17 is 96.676893132444% of 1685.17