2.08 is what percent of 252 - 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 252 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 252, so we can write it down as 100%=252.
4. We know, that x% equals 2.08 of the output value, so we can write it down as x%=2.08.
5. Now we have two simple equations:
1) 100%=252
2) x%=2.08
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%=252/2.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.08 is what percent of 252

100%/x%=252/2.08
(100/x)*x=(252/2.08)*x       - we multiply both sides of the equation by x
100=121.15384615385*x       - we divide both sides of the equation by (121.15384615385) to get x
100/121.15384615385=x
0.82539682539683=x
x=0.82539682539683

now we have:
2.08 is 0.82539682539683% of 252