93.75 is what percent of 63.75 - 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 63.75 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 100% equals 63.75, so we can write it down as 100%=63.75.
4. We know, that x% equals 93.75 of the output value, so we can write it down as x%=93.75.
5. Now we have two simple equations:
1) 100%=63.75
2) x%=93.75
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%=63.75/93.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93.75 is what percent of 63.75

100%/x%=63.75/93.75
(100/x)*x=(63.75/93.75)*x       - we multiply both sides of the equation by x
100=0.68*x       - we divide both sides of the equation by (0.68) to get x
100/0.68=x
147.05882352941=x
x=147.05882352941

now we have:
93.75 is 147.05882352941% of 63.75