48.11 is what percent of 180.99 - 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 180.99 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 180.99, so we can write it down as 100%=180.99.
4. We know, that x% equals 48.11 of the output value, so we can write it down as x%=48.11.
5. Now we have two simple equations:
1) 100%=180.99
2) x%=48.11
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%=180.99/48.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.11 is what percent of 180.99

100%/x%=180.99/48.11
(100/x)*x=(180.99/48.11)*x       - we multiply both sides of the equation by x
100=3.7620037414259*x       - we divide both sides of the equation by (3.7620037414259) to get x
100/3.7620037414259=x
26.581579092768=x
x=26.581579092768

now we have:
48.11 is 26.581579092768% of 180.99