373.31 is what percent of 466.64 - 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 466.64 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 466.64, so we can write it down as 100%=466.64.
4. We know, that x% equals 373.31 of the output value, so we can write it down as x%=373.31.
5. Now we have two simple equations:
1) 100%=466.64
2) x%=373.31
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%=466.64/373.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 373.31 is what percent of 466.64

100%/x%=466.64/373.31
(100/x)*x=(466.64/373.31)*x       - we multiply both sides of the equation by x
100=1.2500066968471*x       - we divide both sides of the equation by (1.2500066968471) to get x
100/1.2500066968471=x
79.99957140408=x
x=79.99957140408

now we have:
373.31 is 79.99957140408% of 466.64