78.75 is what percent of 176.25 - 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 176.25 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 176.25, so we can write it down as 100%=176.25.
4. We know, that x% equals 78.75 of the output value, so we can write it down as x%=78.75.
5. Now we have two simple equations:
1) 100%=176.25
2) x%=78.75
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%=176.25/78.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.75 is what percent of 176.25

100%/x%=176.25/78.75
(100/x)*x=(176.25/78.75)*x       - we multiply both sides of the equation by x
100=2.2380952380952*x       - we divide both sides of the equation by (2.2380952380952) to get x
100/2.2380952380952=x
44.68085106383=x
x=44.68085106383

now we have:
78.75 is 44.68085106383% of 176.25