90 is what percent of 3055 - 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 3055 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 3055, so we can write it down as 100%=3055.
4. We know, that x% equals 90 of the output value, so we can write it down as x%=90.
5. Now we have two simple equations:
1) 100%=3055
2) x%=90
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%=3055/90
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90 is what percent of 3055

100%/x%=3055/90
(100/x)*x=(3055/90)*x       - we multiply both sides of the equation by x
100=33.944444444444*x       - we divide both sides of the equation by (33.944444444444) to get x
100/33.944444444444=x
2.9459901800327=x
x=2.9459901800327

now we have:
90 is 2.9459901800327% of 3055