22.44 is what percent of 1386.44 - 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 1386.44 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 1386.44, so we can write it down as 100%=1386.44.
4. We know, that x% equals 22.44 of the output value, so we can write it down as x%=22.44.
5. Now we have two simple equations:
1) 100%=1386.44
2) x%=22.44
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%=1386.44/22.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.44 is what percent of 1386.44

100%/x%=1386.44/22.44
(100/x)*x=(1386.44/22.44)*x       - we multiply both sides of the equation by x
100=61.78431372549*x       - we divide both sides of the equation by (61.78431372549) to get x
100/61.78431372549=x
1.618533798794=x
x=1.618533798794

now we have:
22.44 is 1.618533798794% of 1386.44