8.75 is what percent of 184.25 - 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 184.25 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 184.25, so we can write it down as 100%=184.25.
4. We know, that x% equals 8.75 of the output value, so we can write it down as x%=8.75.
5. Now we have two simple equations:
1) 100%=184.25
2) x%=8.75
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%=184.25/8.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.75 is what percent of 184.25

100%/x%=184.25/8.75
(100/x)*x=(184.25/8.75)*x       - we multiply both sides of the equation by x
100=21.057142857143*x       - we divide both sides of the equation by (21.057142857143) to get x
100/21.057142857143=x
4.7489823609227=x
x=4.7489823609227

now we have:
8.75 is 4.7489823609227% of 184.25