707.7 is what percent of 735 - 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 735 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 735, so we can write it down as 100%=735.
4. We know, that x% equals 707.7 of the output value, so we can write it down as x%=707.7.
5. Now we have two simple equations:
1) 100%=735
2) x%=707.7
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%=735/707.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 707.7 is what percent of 735

100%/x%=735/707.7
(100/x)*x=(735/707.7)*x       - we multiply both sides of the equation by x
100=1.0385756676558*x       - we divide both sides of the equation by (1.0385756676558) to get x
100/1.0385756676558=x
96.285714285714=x
x=96.285714285714

now we have:
707.7 is 96.285714285714% of 735