948.54 is what percent of 4650 - 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 4650 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 4650, so we can write it down as 100%=4650.
4. We know, that x% equals 948.54 of the output value, so we can write it down as x%=948.54.
5. Now we have two simple equations:
1) 100%=4650
2) x%=948.54
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%=4650/948.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 948.54 is what percent of 4650

100%/x%=4650/948.54
(100/x)*x=(4650/948.54)*x       - we multiply both sides of the equation by x
100=4.9022708583718*x       - we divide both sides of the equation by (4.9022708583718) to get x
100/4.9022708583718=x
20.398709677419=x
x=20.398709677419

now we have:
948.54 is 20.398709677419% of 4650