0.5 is what percent of 1.37 - 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 1.37 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 1.37, so we can write it down as 100%=1.37.
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%=1.37
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%=1.37/0.5
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 1.37

100%/x%=1.37/0.5
(100/x)*x=(1.37/0.5)*x       - we multiply both sides of the equation by x
100=2.74*x       - we divide both sides of the equation by (2.74) to get x
100/2.74=x
36.496350364963=x
x=36.496350364963

now we have:
0.5 is 36.496350364963% of 1.37