119.56 is what percent of 626.55 - 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 626.55 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 626.55, so we can write it down as 100%=626.55.
4. We know, that x% equals 119.56 of the output value, so we can write it down as x%=119.56.
5. Now we have two simple equations:
1) 100%=626.55
2) x%=119.56
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%=626.55/119.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 119.56 is what percent of 626.55

100%/x%=626.55/119.56
(100/x)*x=(626.55/119.56)*x       - we multiply both sides of the equation by x
100=5.2404650384744*x       - we divide both sides of the equation by (5.2404650384744) to get x
100/5.2404650384744=x
19.08227595563=x
x=19.08227595563

now we have:
119.56 is 19.08227595563% of 626.55