177.8 is what percent of 2800 - 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 2800 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 2800, so we can write it down as 100%=2800.
4. We know, that x% equals 177.8 of the output value, so we can write it down as x%=177.8.
5. Now we have two simple equations:
1) 100%=2800
2) x%=177.8
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%=2800/177.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 177.8 is what percent of 2800

100%/x%=2800/177.8
(100/x)*x=(2800/177.8)*x       - we multiply both sides of the equation by x
100=15.748031496063*x       - we divide both sides of the equation by (15.748031496063) to get x
100/15.748031496063=x
6.35=x
x=6.35

now we have:
177.8 is 6.35% of 2800