93.67 is what percent of 427.5 - 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 427.5 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 427.5, so we can write it down as 100%=427.5.
4. We know, that x% equals 93.67 of the output value, so we can write it down as x%=93.67.
5. Now we have two simple equations:
1) 100%=427.5
2) x%=93.67
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%=427.5/93.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93.67 is what percent of 427.5

100%/x%=427.5/93.67
(100/x)*x=(427.5/93.67)*x       - we multiply both sides of the equation by x
100=4.5638945233266*x       - we divide both sides of the equation by (4.5638945233266) to get x
100/4.5638945233266=x
21.911111111111=x
x=21.911111111111

now we have:
93.67 is 21.911111111111% of 427.5