251.27 is what percent of 497.49 - 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 497.49 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 497.49, so we can write it down as 100%=497.49.
4. We know, that x% equals 251.27 of the output value, so we can write it down as x%=251.27.
5. Now we have two simple equations:
1) 100%=497.49
2) x%=251.27
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%=497.49/251.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 251.27 is what percent of 497.49

100%/x%=497.49/251.27
(100/x)*x=(497.49/251.27)*x       - we multiply both sides of the equation by x
100=1.9799020973455*x       - we divide both sides of the equation by (1.9799020973455) to get x
100/1.9799020973455=x
50.50754789041=x
x=50.50754789041

now we have:
251.27 is 50.50754789041% of 497.49