0.5 is what percent of 29.57 - 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 29.57 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 29.57, so we can write it down as 100%=29.57.
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%=29.57
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%=29.57/0.5
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 29.57

100%/x%=29.57/0.5
(100/x)*x=(29.57/0.5)*x       - we multiply both sides of the equation by x
100=59.14*x       - we divide both sides of the equation by (59.14) to get x
100/59.14=x
1.6909029421711=x
x=1.6909029421711

now we have:
0.5 is 1.6909029421711% of 29.57