126.89 is what percent of 216.89 - 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 216.89 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 216.89, so we can write it down as 100%=216.89.
4. We know, that x% equals 126.89 of the output value, so we can write it down as x%=126.89.
5. Now we have two simple equations:
1) 100%=216.89
2) x%=126.89
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%=216.89/126.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.89 is what percent of 216.89

100%/x%=216.89/126.89
(100/x)*x=(216.89/126.89)*x       - we multiply both sides of the equation by x
100=1.7092757506502*x       - we divide both sides of the equation by (1.7092757506502) to get x
100/1.7092757506502=x
58.50431094103=x
x=58.50431094103

now we have:
126.89 is 58.50431094103% of 216.89