1269.14 is what percent of 27.003 - 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 27.003 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 27.003, so we can write it down as 100%=27.003.
4. We know, that x% equals 1269.14 of the output value, so we can write it down as x%=1269.14.
5. Now we have two simple equations:
1) 100%=27.003
2) x%=1269.14
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%=27.003/1269.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1269.14 is what percent of 27.003

100%/x%=27.003/1269.14
(100/x)*x=(27.003/1269.14)*x       - we multiply both sides of the equation by x
100=0.021276612509258*x       - we divide both sides of the equation by (0.021276612509258) to get x
100/0.021276612509258=x
4699.9962967078=x
x=4699.9962967078

now we have:
1269.14 is 4699.9962967078% of 27.003