14.23 is what percent of 1225.26 - 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 1225.26 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 1225.26, so we can write it down as 100%=1225.26.
4. We know, that x% equals 14.23 of the output value, so we can write it down as x%=14.23.
5. Now we have two simple equations:
1) 100%=1225.26
2) x%=14.23
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%=1225.26/14.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.23 is what percent of 1225.26

100%/x%=1225.26/14.23
(100/x)*x=(1225.26/14.23)*x       - we multiply both sides of the equation by x
100=86.104005621926*x       - we divide both sides of the equation by (86.104005621926) to get x
100/86.104005621926=x
1.1613861547753=x
x=1.1613861547753

now we have:
14.23 is 1.1613861547753% of 1225.26