467.5 is what percent of 546 - 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 546 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 546, so we can write it down as 100%=546.
4. We know, that x% equals 467.5 of the output value, so we can write it down as x%=467.5.
5. Now we have two simple equations:
1) 100%=546
2) x%=467.5
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%=546/467.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 467.5 is what percent of 546

100%/x%=546/467.5
(100/x)*x=(546/467.5)*x       - we multiply both sides of the equation by x
100=1.1679144385027*x       - we divide both sides of the equation by (1.1679144385027) to get x
100/1.1679144385027=x
85.622710622711=x
x=85.622710622711

now we have:
467.5 is 85.622710622711% of 546