30.75 is what percent of 26.25 - 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 26.25 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 26.25, so we can write it down as 100%=26.25.
4. We know, that x% equals 30.75 of the output value, so we can write it down as x%=30.75.
5. Now we have two simple equations:
1) 100%=26.25
2) x%=30.75
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%=26.25/30.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.75 is what percent of 26.25

100%/x%=26.25/30.75
(100/x)*x=(26.25/30.75)*x       - we multiply both sides of the equation by x
100=0.85365853658537*x       - we divide both sides of the equation by (0.85365853658537) to get x
100/0.85365853658537=x
117.14285714286=x
x=117.14285714286

now we have:
30.75 is 117.14285714286% of 26.25