1458.6 is what percent of 48900 - 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 48900 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 48900, so we can write it down as 100%=48900.
4. We know, that x% equals 1458.6 of the output value, so we can write it down as x%=1458.6.
5. Now we have two simple equations:
1) 100%=48900
2) x%=1458.6
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%=48900/1458.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1458.6 is what percent of 48900

100%/x%=48900/1458.6
(100/x)*x=(48900/1458.6)*x       - we multiply both sides of the equation by x
100=33.525298231181*x       - we divide both sides of the equation by (33.525298231181) to get x
100/33.525298231181=x
2.9828220858896=x
x=2.9828220858896

now we have:
1458.6 is 2.9828220858896% of 48900