0.5 is what percent of 37.75 - 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 37.75 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 37.75, so we can write it down as 100%=37.75.
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%=37.75
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%=37.75/0.5
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 37.75

100%/x%=37.75/0.5
(100/x)*x=(37.75/0.5)*x       - we multiply both sides of the equation by x
100=75.5*x       - we divide both sides of the equation by (75.5) to get x
100/75.5=x
1.3245033112583=x
x=1.3245033112583

now we have:
0.5 is 1.3245033112583% of 37.75