120.27 is what percent of 452.27 - 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 452.27 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 452.27, so we can write it down as 100%=452.27.
4. We know, that x% equals 120.27 of the output value, so we can write it down as x%=120.27.
5. Now we have two simple equations:
1) 100%=452.27
2) x%=120.27
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%=452.27/120.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.27 is what percent of 452.27

100%/x%=452.27/120.27
(100/x)*x=(452.27/120.27)*x       - we multiply both sides of the equation by x
100=3.7604556414734*x       - we divide both sides of the equation by (3.7604556414734) to get x
100/3.7604556414734=x
26.592522165963=x
x=26.592522165963

now we have:
120.27 is 26.592522165963% of 452.27