544.38 is what percent of 2177.52 - 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 2177.52 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 2177.52, so we can write it down as 100%=2177.52.
4. We know, that x% equals 544.38 of the output value, so we can write it down as x%=544.38.
5. Now we have two simple equations:
1) 100%=2177.52
2) x%=544.38
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%=2177.52/544.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 544.38 is what percent of 2177.52

100%/x%=2177.52/544.38
(100/x)*x=(2177.52/544.38)*x       - we multiply both sides of the equation by x
100=4*x       - we divide both sides of the equation by (4) to get x
100/4=x
25=x
x=25

now we have:
544.38 is 25% of 2177.52