21.53 is what percent of 303.77 - 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 303.77 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 303.77, so we can write it down as 100%=303.77.
4. We know, that x% equals 21.53 of the output value, so we can write it down as x%=21.53.
5. Now we have two simple equations:
1) 100%=303.77
2) x%=21.53
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%=303.77/21.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.53 is what percent of 303.77

100%/x%=303.77/21.53
(100/x)*x=(303.77/21.53)*x       - we multiply both sides of the equation by x
100=14.109150023223*x       - we divide both sides of the equation by (14.109150023223) to get x
100/14.109150023223=x
7.087599170425=x
x=7.087599170425

now we have:
21.53 is 7.087599170425% of 303.77