48 is what percent of 132600 - 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 132600 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 132600, so we can write it down as 100%=132600.
4. We know, that x% equals 48 of the output value, so we can write it down as x%=48.
5. Now we have two simple equations:
1) 100%=132600
2) x%=48
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%=132600/48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48 is what percent of 132600

100%/x%=132600/48
(100/x)*x=(132600/48)*x       - we multiply both sides of the equation by x
100=2762.5*x       - we divide both sides of the equation by (2762.5) to get x
100/2762.5=x
0.036199095022624=x
x=0.036199095022624

now we have:
48 is 0.036199095022624% of 132600