50.5 is what percent of 1258 - 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 1258 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 1258, so we can write it down as 100%=1258.
4. We know, that x% equals 50.5 of the output value, so we can write it down as x%=50.5.
5. Now we have two simple equations:
1) 100%=1258
2) x%=50.5
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%=1258/50.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.5 is what percent of 1258

100%/x%=1258/50.5
(100/x)*x=(1258/50.5)*x       - we multiply both sides of the equation by x
100=24.910891089109*x       - we divide both sides of the equation by (24.910891089109) to get x
100/24.910891089109=x
4.0143084260731=x
x=4.0143084260731

now we have:
50.5 is 4.0143084260731% of 1258