270.5 is what percent of 2140.25 - 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 2140.25 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 2140.25, so we can write it down as 100%=2140.25.
4. We know, that x% equals 270.5 of the output value, so we can write it down as x%=270.5.
5. Now we have two simple equations:
1) 100%=2140.25
2) x%=270.5
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%=2140.25/270.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 270.5 is what percent of 2140.25

100%/x%=2140.25/270.5
(100/x)*x=(2140.25/270.5)*x       - we multiply both sides of the equation by x
100=7.9121996303142*x       - we divide both sides of the equation by (7.9121996303142) to get x
100/7.9121996303142=x
12.638710431024=x
x=12.638710431024

now we have:
270.5 is 12.638710431024% of 2140.25