0.6 is what percent of 471.48 - 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 471.48 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 471.48, so we can write it down as 100%=471.48.
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%=471.48
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%=471.48/0.6
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 471.48

100%/x%=471.48/0.6
(100/x)*x=(471.48/0.6)*x       - we multiply both sides of the equation by x
100=785.8*x       - we divide both sides of the equation by (785.8) to get x
100/785.8=x
0.12725884448969=x
x=0.12725884448969

now we have:
0.6 is 0.12725884448969% of 471.48