514.75 is what percent of 565 - 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 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, so we can write it down as 100%=565.
4. We know, that x% equals 514.75 of the output value, so we can write it down as x%=514.75.
5. Now we have two simple equations:
1) 100%=565
2) x%=514.75
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%=565/514.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 514.75 is what percent of 565

100%/x%=565/514.75
(100/x)*x=(565/514.75)*x       - we multiply both sides of the equation by x
100=1.0976202039825*x       - we divide both sides of the equation by (1.0976202039825) to get x
100/1.0976202039825=x
91.106194690265=x
x=91.106194690265

now we have:
514.75 is 91.106194690265% of 565