0.29 is what percent of 49.64 - 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 49.64 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 49.64, so we can write it down as 100%=49.64.
4. We know, that x% equals 0.29 of the output value, so we can write it down as x%=0.29.
5. Now we have two simple equations:
1) 100%=49.64
2) x%=0.29
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%=49.64/0.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.29 is what percent of 49.64

100%/x%=49.64/0.29
(100/x)*x=(49.64/0.29)*x       - we multiply both sides of the equation by x
100=171.1724137931*x       - we divide both sides of the equation by (171.1724137931) to get x
100/171.1724137931=x
0.58420628525383=x
x=0.58420628525383

now we have:
0.29 is 0.58420628525383% of 49.64