261.2 is what percent of 1339.2 - 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 1339.2 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 1339.2, so we can write it down as 100%=1339.2.
4. We know, that x% equals 261.2 of the output value, so we can write it down as x%=261.2.
5. Now we have two simple equations:
1) 100%=1339.2
2) x%=261.2
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%=1339.2/261.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 261.2 is what percent of 1339.2

100%/x%=1339.2/261.2
(100/x)*x=(1339.2/261.2)*x       - we multiply both sides of the equation by x
100=5.1271056661562*x       - we divide both sides of the equation by (5.1271056661562) to get x
100/5.1271056661562=x
19.504181600956=x
x=19.504181600956

now we have:
261.2 is 19.504181600956% of 1339.2