463.5 is what percent of 555 - 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 555 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 555, so we can write it down as 100%=555.
4. We know, that x% equals 463.5 of the output value, so we can write it down as x%=463.5.
5. Now we have two simple equations:
1) 100%=555
2) x%=463.5
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%=555/463.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 463.5 is what percent of 555

100%/x%=555/463.5
(100/x)*x=(555/463.5)*x       - we multiply both sides of the equation by x
100=1.1974110032362*x       - we divide both sides of the equation by (1.1974110032362) to get x
100/1.1974110032362=x
83.513513513514=x
x=83.513513513514

now we have:
463.5 is 83.513513513514% of 555