28.05 is what percent of 177.7 - 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 177.7 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 177.7, so we can write it down as 100%=177.7.
4. We know, that x% equals 28.05 of the output value, so we can write it down as x%=28.05.
5. Now we have two simple equations:
1) 100%=177.7
2) x%=28.05
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%=177.7/28.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.05 is what percent of 177.7

100%/x%=177.7/28.05
(100/x)*x=(177.7/28.05)*x       - we multiply both sides of the equation by x
100=6.3351158645276*x       - we divide both sides of the equation by (6.3351158645276) to get x
100/6.3351158645276=x
15.785030951041=x
x=15.785030951041

now we have:
28.05 is 15.785030951041% of 177.7