4.66 is what percent of 131.31 - 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 131.31 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 131.31, so we can write it down as 100%=131.31.
4. We know, that x% equals 4.66 of the output value, so we can write it down as x%=4.66.
5. Now we have two simple equations:
1) 100%=131.31
2) x%=4.66
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%=131.31/4.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.66 is what percent of 131.31

100%/x%=131.31/4.66
(100/x)*x=(131.31/4.66)*x       - we multiply both sides of the equation by x
100=28.178111587983*x       - we divide both sides of the equation by (28.178111587983) to get x
100/28.178111587983=x
3.5488538572843=x
x=3.5488538572843

now we have:
4.66 is 3.5488538572843% of 131.31