73.39 is what percent of 415.89 - 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 415.89 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 415.89, so we can write it down as 100%=415.89.
4. We know, that x% equals 73.39 of the output value, so we can write it down as x%=73.39.
5. Now we have two simple equations:
1) 100%=415.89
2) x%=73.39
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%=415.89/73.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73.39 is what percent of 415.89

100%/x%=415.89/73.39
(100/x)*x=(415.89/73.39)*x       - we multiply both sides of the equation by x
100=5.6668483444611*x       - we divide both sides of the equation by (5.6668483444611) to get x
100/5.6668483444611=x
17.64649306307=x
x=17.64649306307

now we have:
73.39 is 17.64649306307% of 415.89