372.25 is what percent of 467.5 - 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 467.5 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 467.5, so we can write it down as 100%=467.5.
4. We know, that x% equals 372.25 of the output value, so we can write it down as x%=372.25.
5. Now we have two simple equations:
1) 100%=467.5
2) x%=372.25
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%=467.5/372.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 372.25 is what percent of 467.5

100%/x%=467.5/372.25
(100/x)*x=(467.5/372.25)*x       - we multiply both sides of the equation by x
100=1.2558764271323*x       - we divide both sides of the equation by (1.2558764271323) to get x
100/1.2558764271323=x
79.625668449198=x
x=79.625668449198

now we have:
372.25 is 79.625668449198% of 467.5