1.2 is what percent of 258.5 - 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 258.5 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 258.5, so we can write it down as 100%=258.5.
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%=258.5
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%=258.5/1.2
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 258.5

100%/x%=258.5/1.2
(100/x)*x=(258.5/1.2)*x       - we multiply both sides of the equation by x
100=215.41666666667*x       - we divide both sides of the equation by (215.41666666667) to get x
100/215.41666666667=x
0.4642166344294=x
x=0.4642166344294

now we have:
1.2 is 0.4642166344294% of 258.5