707.07 is what percent of 1288 - 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 1288 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 1288, so we can write it down as 100%=1288.
4. We know, that x% equals 707.07 of the output value, so we can write it down as x%=707.07.
5. Now we have two simple equations:
1) 100%=1288
2) x%=707.07
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%=1288/707.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 707.07 is what percent of 1288

100%/x%=1288/707.07
(100/x)*x=(1288/707.07)*x       - we multiply both sides of the equation by x
100=1.8216018216018*x       - we divide both sides of the equation by (1.8216018216018) to get x
100/1.8216018216018=x
54.896739130435=x
x=54.896739130435

now we have:
707.07 is 54.896739130435% of 1288