4.73 is what percent of 11.62 - 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 11.62 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 11.62, so we can write it down as 100%=11.62.
4. We know, that x% equals 4.73 of the output value, so we can write it down as x%=4.73.
5. Now we have two simple equations:
1) 100%=11.62
2) x%=4.73
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%=11.62/4.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.73 is what percent of 11.62

100%/x%=11.62/4.73
(100/x)*x=(11.62/4.73)*x       - we multiply both sides of the equation by x
100=2.4566596194503*x       - we divide both sides of the equation by (2.4566596194503) to get x
100/2.4566596194503=x
40.705679862306=x
x=40.705679862306

now we have:
4.73 is 40.705679862306% of 11.62