47.43 is what percent of 301.6 - 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 301.6 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 301.6, so we can write it down as 100%=301.6.
4. We know, that x% equals 47.43 of the output value, so we can write it down as x%=47.43.
5. Now we have two simple equations:
1) 100%=301.6
2) x%=47.43
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%=301.6/47.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.43 is what percent of 301.6

100%/x%=301.6/47.43
(100/x)*x=(301.6/47.43)*x       - we multiply both sides of the equation by x
100=6.3588446131141*x       - we divide both sides of the equation by (6.3588446131141) to get x
100/6.3588446131141=x
15.726127320955=x
x=15.726127320955

now we have:
47.43 is 15.726127320955% of 301.6