0.5 is what percent of 135.6 - 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 135.6 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 135.6, so we can write it down as 100%=135.6.
4. We know, that x% equals 0.5 of the output value, so we can write it down as x%=0.5.
5. Now we have two simple equations:
1) 100%=135.6
2) x%=0.5
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%=135.6/0.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.5 is what percent of 135.6

100%/x%=135.6/0.5
(100/x)*x=(135.6/0.5)*x       - we multiply both sides of the equation by x
100=271.2*x       - we divide both sides of the equation by (271.2) to get x
100/271.2=x
0.36873156342183=x
x=0.36873156342183

now we have:
0.5 is 0.36873156342183% of 135.6