90 is what percent of 219.84 - 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 219.84 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 219.84, so we can write it down as 100%=219.84.
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%=219.84
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%=219.84/90
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 219.84

100%/x%=219.84/90
(100/x)*x=(219.84/90)*x       - we multiply both sides of the equation by x
100=2.4426666666667*x       - we divide both sides of the equation by (2.4426666666667) to get x
100/2.4426666666667=x
40.938864628821=x
x=40.938864628821

now we have:
90 is 40.938864628821% of 219.84