20.77 is what percent of 461.54 - 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 461.54 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 461.54, so we can write it down as 100%=461.54.
4. We know, that x% equals 20.77 of the output value, so we can write it down as x%=20.77.
5. Now we have two simple equations:
1) 100%=461.54
2) x%=20.77
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%=461.54/20.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.77 is what percent of 461.54

100%/x%=461.54/20.77
(100/x)*x=(461.54/20.77)*x       - we multiply both sides of the equation by x
100=22.221473278767*x       - we divide both sides of the equation by (22.221473278767) to get x
100/22.221473278767=x
4.5001516661611=x
x=4.5001516661611

now we have:
20.77 is 4.5001516661611% of 461.54