21.6 is what percent of 85.34 - 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 85.34 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 85.34, so we can write it down as 100%=85.34.
4. We know, that x% equals 21.6 of the output value, so we can write it down as x%=21.6.
5. Now we have two simple equations:
1) 100%=85.34
2) x%=21.6
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%=85.34/21.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.6 is what percent of 85.34

100%/x%=85.34/21.6
(100/x)*x=(85.34/21.6)*x       - we multiply both sides of the equation by x
100=3.9509259259259*x       - we divide both sides of the equation by (3.9509259259259) to get x
100/3.9509259259259=x
25.310522615421=x
x=25.310522615421

now we have:
21.6 is 25.310522615421% of 85.34