1613.45 is what percent of 1629.57 - 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 1629.57 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 1629.57, so we can write it down as 100%=1629.57.
4. We know, that x% equals 1613.45 of the output value, so we can write it down as x%=1613.45.
5. Now we have two simple equations:
1) 100%=1629.57
2) x%=1613.45
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%=1629.57/1613.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1613.45 is what percent of 1629.57

100%/x%=1629.57/1613.45
(100/x)*x=(1629.57/1613.45)*x       - we multiply both sides of the equation by x
100=1.0099910130466*x       - we divide both sides of the equation by (1.0099910130466) to get x
100/1.0099910130466=x
99.010781985432=x
x=99.010781985432

now we have:
1613.45 is 99.010781985432% of 1629.57