1.2 is what percent of 31.104 - 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 31.104 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 31.104, so we can write it down as 100%=31.104.
4. We know, that x% equals 1.2 of the output value, so we can write it down as x%=1.2.
5. Now we have two simple equations:
1) 100%=31.104
2) x%=1.2
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%=31.104/1.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.2 is what percent of 31.104

100%/x%=31.104/1.2
(100/x)*x=(31.104/1.2)*x       - we multiply both sides of the equation by x
100=25.92*x       - we divide both sides of the equation by (25.92) to get x
100/25.92=x
3.858024691358=x
x=3.858024691358

now we have:
1.2 is 3.858024691358% of 31.104