155.5 is what percent of 2766.4 - 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 2766.4 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 2766.4, so we can write it down as 100%=2766.4.
4. We know, that x% equals 155.5 of the output value, so we can write it down as x%=155.5.
5. Now we have two simple equations:
1) 100%=2766.4
2) x%=155.5
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%=2766.4/155.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.5 is what percent of 2766.4

100%/x%=2766.4/155.5
(100/x)*x=(2766.4/155.5)*x       - we multiply both sides of the equation by x
100=17.790353697749*x       - we divide both sides of the equation by (17.790353697749) to get x
100/17.790353697749=x
5.621023713129=x
x=5.621023713129

now we have:
155.5 is 5.621023713129% of 2766.4