251.23 is what percent of 708.32 - 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 708.32 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 708.32, so we can write it down as 100%=708.32.
4. We know, that x% equals 251.23 of the output value, so we can write it down as x%=251.23.
5. Now we have two simple equations:
1) 100%=708.32
2) x%=251.23
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%=708.32/251.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 251.23 is what percent of 708.32

100%/x%=708.32/251.23
(100/x)*x=(708.32/251.23)*x       - we multiply both sides of the equation by x
100=2.8194085101302*x       - we divide both sides of the equation by (2.8194085101302) to get x
100/2.8194085101302=x
35.468432346962=x
x=35.468432346962

now we have:
251.23 is 35.468432346962% of 708.32