258.35 is what percent of 1122.74 - 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 1122.74 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 1122.74, so we can write it down as 100%=1122.74.
4. We know, that x% equals 258.35 of the output value, so we can write it down as x%=258.35.
5. Now we have two simple equations:
1) 100%=1122.74
2) x%=258.35
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%=1122.74/258.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 258.35 is what percent of 1122.74

100%/x%=1122.74/258.35
(100/x)*x=(1122.74/258.35)*x       - we multiply both sides of the equation by x
100=4.3458099477453*x       - we divide both sides of the equation by (4.3458099477453) to get x
100/4.3458099477453=x
23.010670324385=x
x=23.010670324385

now we have:
258.35 is 23.010670324385% of 1122.74