154.12 is what percent of 795.44 - 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 795.44 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 795.44, so we can write it down as 100%=795.44.
4. We know, that x% equals 154.12 of the output value, so we can write it down as x%=154.12.
5. Now we have two simple equations:
1) 100%=795.44
2) x%=154.12
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%=795.44/154.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 154.12 is what percent of 795.44

100%/x%=795.44/154.12
(100/x)*x=(795.44/154.12)*x       - we multiply both sides of the equation by x
100=5.1611731118609*x       - we divide both sides of the equation by (5.1611731118609) to get x
100/5.1611731118609=x
19.375440008046=x
x=19.375440008046

now we have:
154.12 is 19.375440008046% of 795.44