21.46 is what percent of 315.6 - 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 315.6 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 315.6, so we can write it down as 100%=315.6.
4. We know, that x% equals 21.46 of the output value, so we can write it down as x%=21.46.
5. Now we have two simple equations:
1) 100%=315.6
2) x%=21.46
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%=315.6/21.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.46 is what percent of 315.6

100%/x%=315.6/21.46
(100/x)*x=(315.6/21.46)*x       - we multiply both sides of the equation by x
100=14.7064305685*x       - we divide both sides of the equation by (14.7064305685) to get x
100/14.7064305685=x
6.7997465145754=x
x=6.7997465145754

now we have:
21.46 is 6.7997465145754% of 315.6