128.25 is what percent of 577.25 - 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 577.25 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 577.25, so we can write it down as 100%=577.25.
4. We know, that x% equals 128.25 of the output value, so we can write it down as x%=128.25.
5. Now we have two simple equations:
1) 100%=577.25
2) x%=128.25
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%=577.25/128.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 128.25 is what percent of 577.25

100%/x%=577.25/128.25
(100/x)*x=(577.25/128.25)*x       - we multiply both sides of the equation by x
100=4.5009746588694*x       - we divide both sides of the equation by (4.5009746588694) to get x
100/4.5009746588694=x
22.217410134257=x
x=22.217410134257

now we have:
128.25 is 22.217410134257% of 577.25