0.6 is what percent of 49.6 - 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 49.6 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 49.6, so we can write it down as 100%=49.6.
4. We know, that x% equals 0.6 of the output value, so we can write it down as x%=0.6.
5. Now we have two simple equations:
1) 100%=49.6
2) x%=0.6
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%=49.6/0.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.6 is what percent of 49.6

100%/x%=49.6/0.6
(100/x)*x=(49.6/0.6)*x       - we multiply both sides of the equation by x
100=82.666666666667*x       - we divide both sides of the equation by (82.666666666667) to get x
100/82.666666666667=x
1.2096774193548=x
x=1.2096774193548

now we have:
0.6 is 1.2096774193548% of 49.6