134.46 is what percent of 678.22 - 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 678.22 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 678.22, so we can write it down as 100%=678.22.
4. We know, that x% equals 134.46 of the output value, so we can write it down as x%=134.46.
5. Now we have two simple equations:
1) 100%=678.22
2) x%=134.46
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%=678.22/134.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 134.46 is what percent of 678.22

100%/x%=678.22/134.46
(100/x)*x=(678.22/134.46)*x       - we multiply both sides of the equation by x
100=5.0440279637067*x       - we divide both sides of the equation by (5.0440279637067) to get x
100/5.0440279637067=x
19.825425378196=x
x=19.825425378196

now we have:
134.46 is 19.825425378196% of 678.22