78.25 is what percent of 175.25 - 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 175.25 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 175.25, so we can write it down as 100%=175.25.
4. We know, that x% equals 78.25 of the output value, so we can write it down as x%=78.25.
5. Now we have two simple equations:
1) 100%=175.25
2) x%=78.25
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%=175.25/78.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.25 is what percent of 175.25

100%/x%=175.25/78.25
(100/x)*x=(175.25/78.25)*x       - we multiply both sides of the equation by x
100=2.2396166134185*x       - we divide both sides of the equation by (2.2396166134185) to get x
100/2.2396166134185=x
44.650499286733=x
x=44.650499286733

now we have:
78.25 is 44.650499286733% of 175.25