21 is what percent of 10774 - 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 10774 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 10774, so we can write it down as 100%=10774.
4. We know, that x% equals 21 of the output value, so we can write it down as x%=21.
5. Now we have two simple equations:
1) 100%=10774
2) x%=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%=10774/21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21 is what percent of 10774

100%/x%=10774/21
(100/x)*x=(10774/21)*x       - we multiply both sides of the equation by x
100=513.04761904762*x       - we divide both sides of the equation by (513.04761904762) to get x
100/513.04761904762=x
0.19491368108409=x
x=0.19491368108409

now we have:
21 is 0.19491368108409% of 10774