1942.5 is what percent of 1640 - 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 1640 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 1640, so we can write it down as 100%=1640.
4. We know, that x% equals 1942.5 of the output value, so we can write it down as x%=1942.5.
5. Now we have two simple equations:
1) 100%=1640
2) x%=1942.5
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%=1640/1942.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1942.5 is what percent of 1640

100%/x%=1640/1942.5
(100/x)*x=(1640/1942.5)*x       - we multiply both sides of the equation by x
100=0.84427284427284*x       - we divide both sides of the equation by (0.84427284427284) to get x
100/0.84427284427284=x
118.44512195122=x
x=118.44512195122

now we have:
1942.5 is 118.44512195122% of 1640