2.55 is what percent of 29.98 - 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 29.98 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 29.98, so we can write it down as 100%=29.98.
4. We know, that x% equals 2.55 of the output value, so we can write it down as x%=2.55.
5. Now we have two simple equations:
1) 100%=29.98
2) x%=2.55
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%=29.98/2.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.55 is what percent of 29.98

100%/x%=29.98/2.55
(100/x)*x=(29.98/2.55)*x       - we multiply both sides of the equation by x
100=11.756862745098*x       - we divide both sides of the equation by (11.756862745098) to get x
100/11.756862745098=x
8.5056704469646=x
x=8.5056704469646

now we have:
2.55 is 8.5056704469646% of 29.98