94.15 is what percent of 475.3 - 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 475.3 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 475.3, so we can write it down as 100%=475.3.
4. We know, that x% equals 94.15 of the output value, so we can write it down as x%=94.15.
5. Now we have two simple equations:
1) 100%=475.3
2) x%=94.15
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%=475.3/94.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94.15 is what percent of 475.3

100%/x%=475.3/94.15
(100/x)*x=(475.3/94.15)*x       - we multiply both sides of the equation by x
100=5.0483271375465*x       - we divide both sides of the equation by (5.0483271375465) to get x
100/5.0483271375465=x
19.80854197349=x
x=19.80854197349

now we have:
94.15 is 19.80854197349% of 475.3