103.57 is what percent of 2145.83 - 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 2145.83 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 2145.83, so we can write it down as 100%=2145.83.
4. We know, that x% equals 103.57 of the output value, so we can write it down as x%=103.57.
5. Now we have two simple equations:
1) 100%=2145.83
2) x%=103.57
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%=2145.83/103.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.57 is what percent of 2145.83

100%/x%=2145.83/103.57
(100/x)*x=(2145.83/103.57)*x       - we multiply both sides of the equation by x
100=20.718644395095*x       - we divide both sides of the equation by (20.718644395095) to get x
100/20.718644395095=x
4.8265706043815=x
x=4.8265706043815

now we have:
103.57 is 4.8265706043815% of 2145.83