134.2 is what percent of 258 - 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 258 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 258, so we can write it down as 100%=258.
4. We know, that x% equals 134.2 of the output value, so we can write it down as x%=134.2.
5. Now we have two simple equations:
1) 100%=258
2) x%=134.2
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%=258/134.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 134.2 is what percent of 258

100%/x%=258/134.2
(100/x)*x=(258/134.2)*x       - we multiply both sides of the equation by x
100=1.9225037257824*x       - we divide both sides of the equation by (1.9225037257824) to get x
100/1.9225037257824=x
52.015503875969=x
x=52.015503875969

now we have:
134.2 is 52.015503875969% of 258