2 is what percent of 261.9 - 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 261.9 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 261.9, so we can write it down as 100%=261.9.
4. We know, that x% equals 2 of the output value, so we can write it down as x%=2.
5. Now we have two simple equations:
1) 100%=261.9
2) x%=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%=261.9/2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2 is what percent of 261.9

100%/x%=261.9/2
(100/x)*x=(261.9/2)*x       - we multiply both sides of the equation by x
100=130.95*x       - we divide both sides of the equation by (130.95) to get x
100/130.95=x
0.76365024818633=x
x=0.76365024818633

now we have:
2 is 0.76365024818633% of 261.9