2.82 is what percent of 42.61 - 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 42.61 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 42.61, so we can write it down as 100%=42.61.
4. We know, that x% equals 2.82 of the output value, so we can write it down as x%=2.82.
5. Now we have two simple equations:
1) 100%=42.61
2) x%=2.82
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%=42.61/2.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.82 is what percent of 42.61

100%/x%=42.61/2.82
(100/x)*x=(42.61/2.82)*x       - we multiply both sides of the equation by x
100=15.109929078014*x       - we divide both sides of the equation by (15.109929078014) to get x
100/15.109929078014=x
6.6181647500587=x
x=6.6181647500587

now we have:
2.82 is 6.6181647500587% of 42.61