571.34 is what percent of 585.6 - 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 585.6 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 585.6, so we can write it down as 100%=585.6.
4. We know, that x% equals 571.34 of the output value, so we can write it down as x%=571.34.
5. Now we have two simple equations:
1) 100%=585.6
2) x%=571.34
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%=585.6/571.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 571.34 is what percent of 585.6

100%/x%=585.6/571.34
(100/x)*x=(585.6/571.34)*x       - we multiply both sides of the equation by x
100=1.0249588686246*x       - we divide both sides of the equation by (1.0249588686246) to get x
100/1.0249588686246=x
97.564890710383=x
x=97.564890710383

now we have:
571.34 is 97.564890710383% of 585.6