15.73 is what percent of 22.46 - 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 22.46 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 22.46, so we can write it down as 100%=22.46.
4. We know, that x% equals 15.73 of the output value, so we can write it down as x%=15.73.
5. Now we have two simple equations:
1) 100%=22.46
2) x%=15.73
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%=22.46/15.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.73 is what percent of 22.46

100%/x%=22.46/15.73
(100/x)*x=(22.46/15.73)*x       - we multiply both sides of the equation by x
100=1.4278448823903*x       - we divide both sides of the equation by (1.4278448823903) to get x
100/1.4278448823903=x
70.035618878005=x
x=70.035618878005

now we have:
15.73 is 70.035618878005% of 22.46