462.84 is what percent of 565.5 - 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 565.5 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 565.5, so we can write it down as 100%=565.5.
4. We know, that x% equals 462.84 of the output value, so we can write it down as x%=462.84.
5. Now we have two simple equations:
1) 100%=565.5
2) x%=462.84
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%=565.5/462.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 462.84 is what percent of 565.5

100%/x%=565.5/462.84
(100/x)*x=(565.5/462.84)*x       - we multiply both sides of the equation by x
100=1.2218045112782*x       - we divide both sides of the equation by (1.2218045112782) to get x
100/1.2218045112782=x
81.846153846154=x
x=81.846153846154

now we have:
462.84 is 81.846153846154% of 565.5