27.58 is what percent of 524.4 - 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 524.4 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 524.4, so we can write it down as 100%=524.4.
4. We know, that x% equals 27.58 of the output value, so we can write it down as x%=27.58.
5. Now we have two simple equations:
1) 100%=524.4
2) x%=27.58
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%=524.4/27.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.58 is what percent of 524.4

100%/x%=524.4/27.58
(100/x)*x=(524.4/27.58)*x       - we multiply both sides of the equation by x
100=19.013778100073*x       - we divide both sides of the equation by (19.013778100073) to get x
100/19.013778100073=x
5.2593440122044=x
x=5.2593440122044

now we have:
27.58 is 5.2593440122044% of 524.4