155.33 is what percent of 554.75 - 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 554.75 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 554.75, so we can write it down as 100%=554.75.
4. We know, that x% equals 155.33 of the output value, so we can write it down as x%=155.33.
5. Now we have two simple equations:
1) 100%=554.75
2) x%=155.33
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%=554.75/155.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.33 is what percent of 554.75

100%/x%=554.75/155.33
(100/x)*x=(554.75/155.33)*x       - we multiply both sides of the equation by x
100=3.5714285714286*x       - we divide both sides of the equation by (3.5714285714286) to get x
100/3.5714285714286=x
28=x
x=28

now we have:
155.33 is 28% of 554.75