524.58 is what percent of 540.71 - 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 540.71 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 540.71, so we can write it down as 100%=540.71.
4. We know, that x% equals 524.58 of the output value, so we can write it down as x%=524.58.
5. Now we have two simple equations:
1) 100%=540.71
2) x%=524.58
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%=540.71/524.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 524.58 is what percent of 540.71

100%/x%=540.71/524.58
(100/x)*x=(540.71/524.58)*x       - we multiply both sides of the equation by x
100=1.0307484082504*x       - we divide both sides of the equation by (1.0307484082504) to get x
100/1.0307484082504=x
97.016885206488=x
x=97.016885206488

now we have:
524.58 is 97.016885206488% of 540.71