1.26 is what percent of 251.26 - 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 251.26 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 251.26, so we can write it down as 100%=251.26.
4. We know, that x% equals 1.26 of the output value, so we can write it down as x%=1.26.
5. Now we have two simple equations:
1) 100%=251.26
2) x%=1.26
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%=251.26/1.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.26 is what percent of 251.26

100%/x%=251.26/1.26
(100/x)*x=(251.26/1.26)*x       - we multiply both sides of the equation by x
100=199.4126984127*x       - we divide both sides of the equation by (199.4126984127) to get x
100/199.4126984127=x
0.50147257820584=x
x=0.50147257820584

now we have:
1.26 is 0.50147257820584% of 251.26