73.63 is what percent of 383.25 - 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 383.25 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 383.25, so we can write it down as 100%=383.25.
4. We know, that x% equals 73.63 of the output value, so we can write it down as x%=73.63.
5. Now we have two simple equations:
1) 100%=383.25
2) x%=73.63
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%=383.25/73.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73.63 is what percent of 383.25

100%/x%=383.25/73.63
(100/x)*x=(383.25/73.63)*x       - we multiply both sides of the equation by x
100=5.2050794513106*x       - we divide both sides of the equation by (5.2050794513106) to get x
100/5.2050794513106=x
19.212002609263=x
x=19.212002609263

now we have:
73.63 is 19.212002609263% of 383.25