270.25 is what percent of 381.25 - 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 381.25 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 381.25, so we can write it down as 100%=381.25.
4. We know, that x% equals 270.25 of the output value, so we can write it down as x%=270.25.
5. Now we have two simple equations:
1) 100%=381.25
2) x%=270.25
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%=381.25/270.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 270.25 is what percent of 381.25

100%/x%=381.25/270.25
(100/x)*x=(381.25/270.25)*x       - we multiply both sides of the equation by x
100=1.4107308048104*x       - we divide both sides of the equation by (1.4107308048104) to get x
100/1.4107308048104=x
70.885245901639=x
x=70.885245901639

now we have:
270.25 is 70.885245901639% of 381.25