21.95 is what percent of 723.5 - 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 723.5 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 723.5, so we can write it down as 100%=723.5.
4. We know, that x% equals 21.95 of the output value, so we can write it down as x%=21.95.
5. Now we have two simple equations:
1) 100%=723.5
2) x%=21.95
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%=723.5/21.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.95 is what percent of 723.5

100%/x%=723.5/21.95
(100/x)*x=(723.5/21.95)*x       - we multiply both sides of the equation by x
100=32.961275626424*x       - we divide both sides of the equation by (32.961275626424) to get x
100/32.961275626424=x
3.0338631651693=x
x=3.0338631651693

now we have:
21.95 is 3.0338631651693% of 723.5