258.96 is what percent of 75769.2 - 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 75769.2 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 75769.2, so we can write it down as 100%=75769.2.
4. We know, that x% equals 258.96 of the output value, so we can write it down as x%=258.96.
5. Now we have two simple equations:
1) 100%=75769.2
2) x%=258.96
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%=75769.2/258.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 258.96 is what percent of 75769.2

100%/x%=75769.2/258.96
(100/x)*x=(75769.2/258.96)*x       - we multiply both sides of the equation by x
100=292.59036144578*x       - we divide both sides of the equation by (292.59036144578) to get x
100/292.59036144578=x
0.34177475808112=x
x=0.34177475808112

now we have:
258.96 is 0.34177475808112% of 75769.2