267.53 is what percent of 1014.07 - 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 1014.07 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 1014.07, so we can write it down as 100%=1014.07.
4. We know, that x% equals 267.53 of the output value, so we can write it down as x%=267.53.
5. Now we have two simple equations:
1) 100%=1014.07
2) x%=267.53
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%=1014.07/267.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 267.53 is what percent of 1014.07

100%/x%=1014.07/267.53
(100/x)*x=(1014.07/267.53)*x       - we multiply both sides of the equation by x
100=3.7904907860801*x       - we divide both sides of the equation by (3.7904907860801) to get x
100/3.7904907860801=x
26.381807961975=x
x=26.381807961975

now we have:
267.53 is 26.381807961975% of 1014.07