0.21 is what percent of 2.77 - 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 2.77 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 2.77, so we can write it down as 100%=2.77.
4. We know, that x% equals 0.21 of the output value, so we can write it down as x%=0.21.
5. Now we have two simple equations:
1) 100%=2.77
2) x%=0.21
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%=2.77/0.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.21 is what percent of 2.77

100%/x%=2.77/0.21
(100/x)*x=(2.77/0.21)*x       - we multiply both sides of the equation by x
100=13.190476190476*x       - we divide both sides of the equation by (13.190476190476) to get x
100/13.190476190476=x
7.5812274368231=x
x=7.5812274368231

now we have:
0.21 is 7.5812274368231% of 2.77