120.4 is what percent of 2075.84 - 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 2075.84 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 2075.84, so we can write it down as 100%=2075.84.
4. We know, that x% equals 120.4 of the output value, so we can write it down as x%=120.4.
5. Now we have two simple equations:
1) 100%=2075.84
2) x%=120.4
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%=2075.84/120.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.4 is what percent of 2075.84

100%/x%=2075.84/120.4
(100/x)*x=(2075.84/120.4)*x       - we multiply both sides of the equation by x
100=17.241196013289*x       - we divide both sides of the equation by (17.241196013289) to get x
100/17.241196013289=x
5.8000616617851=x
x=5.8000616617851

now we have:
120.4 is 5.8000616617851% of 2075.84