21.5 is what percent of 758.25 - 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 758.25 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 758.25, so we can write it down as 100%=758.25.
4. We know, that x% equals 21.5 of the output value, so we can write it down as x%=21.5.
5. Now we have two simple equations:
1) 100%=758.25
2) x%=21.5
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%=758.25/21.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.5 is what percent of 758.25

100%/x%=758.25/21.5
(100/x)*x=(758.25/21.5)*x       - we multiply both sides of the equation by x
100=35.267441860465*x       - we divide both sides of the equation by (35.267441860465) to get x
100/35.267441860465=x
2.8354764259809=x
x=2.8354764259809

now we have:
21.5 is 2.8354764259809% of 758.25