127.26 is what percent of 1827.26 - 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 1827.26 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 1827.26, so we can write it down as 100%=1827.26.
4. We know, that x% equals 127.26 of the output value, so we can write it down as x%=127.26.
5. Now we have two simple equations:
1) 100%=1827.26
2) x%=127.26
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%=1827.26/127.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 127.26 is what percent of 1827.26

100%/x%=1827.26/127.26
(100/x)*x=(1827.26/127.26)*x       - we multiply both sides of the equation by x
100=14.358478705013*x       - we divide both sides of the equation by (14.358478705013) to get x
100/14.358478705013=x
6.9645261210775=x
x=6.9645261210775

now we have:
127.26 is 6.9645261210775% of 1827.26