481.63 is what percent of 511.13 - 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 511.13 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 511.13, so we can write it down as 100%=511.13.
4. We know, that x% equals 481.63 of the output value, so we can write it down as x%=481.63.
5. Now we have two simple equations:
1) 100%=511.13
2) x%=481.63
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%=511.13/481.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 481.63 is what percent of 511.13

100%/x%=511.13/481.63
(100/x)*x=(511.13/481.63)*x       - we multiply both sides of the equation by x
100=1.0612503373959*x       - we divide both sides of the equation by (1.0612503373959) to get x
100/1.0612503373959=x
94.228474165085=x
x=94.228474165085

now we have:
481.63 is 94.228474165085% of 511.13