90 is what percent of 21.79 - 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 21.79 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 21.79, so we can write it down as 100%=21.79.
4. We know, that x% equals 90 of the output value, so we can write it down as x%=90.
5. Now we have two simple equations:
1) 100%=21.79
2) x%=90
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%=21.79/90
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90 is what percent of 21.79

100%/x%=21.79/90
(100/x)*x=(21.79/90)*x       - we multiply both sides of the equation by x
100=0.24211111111111*x       - we divide both sides of the equation by (0.24211111111111) to get x
100/0.24211111111111=x
413.03350160624=x
x=413.03350160624

now we have:
90 is 413.03350160624% of 21.79