2.77 is what percent of 33.82 - 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 33.82 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 33.82, so we can write it down as 100%=33.82.
4. We know, that x% equals 2.77 of the output value, so we can write it down as x%=2.77.
5. Now we have two simple equations:
1) 100%=33.82
2) x%=2.77
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%=33.82/2.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.77 is what percent of 33.82

100%/x%=33.82/2.77
(100/x)*x=(33.82/2.77)*x       - we multiply both sides of the equation by x
100=12.209386281588*x       - we divide both sides of the equation by (12.209386281588) to get x
100/12.209386281588=x
8.1904198698995=x
x=8.1904198698995

now we have:
2.77 is 8.1904198698995% of 33.82