What is 225 percent of 78.75 - 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 78.75 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 78.75 is 100%, so we can write it down as 78.75=100%.
4. We know, that x is 225% of the output value, so we can write it down as x=225%.
5. Now we have two simple equations:
1) 78.75=100%
2) x=225%
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:
78.75/x=100%/225%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 225% of 78.75

78.75/x=100/225
(78.75/x)*x=(100/225)*x       - we multiply both sides of the equation by x
78.75=0.44444444444444*x       - we divide both sides of the equation by (0.44444444444444) to get x
78.75/0.44444444444444=x
177.1875=x
x=177.1875

now we have:
225% of 78.75=177.1875