265.98 is what percent of 1377.85 - 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 1377.85 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 1377.85, so we can write it down as 100%=1377.85.
4. We know, that x% equals 265.98 of the output value, so we can write it down as x%=265.98.
5. Now we have two simple equations:
1) 100%=1377.85
2) x%=265.98
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%=1377.85/265.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 265.98 is what percent of 1377.85

100%/x%=1377.85/265.98
(100/x)*x=(1377.85/265.98)*x       - we multiply both sides of the equation by x
100=5.1802767125348*x       - we divide both sides of the equation by (5.1802767125348) to get x
100/5.1802767125348=x
19.303988097398=x
x=19.303988097398

now we have:
265.98 is 19.303988097398% of 1377.85