696.44 is what percent of 714.44 - 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 714.44 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 714.44, so we can write it down as 100%=714.44.
4. We know, that x% equals 696.44 of the output value, so we can write it down as x%=696.44.
5. Now we have two simple equations:
1) 100%=714.44
2) x%=696.44
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%=714.44/696.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 696.44 is what percent of 714.44

100%/x%=714.44/696.44
(100/x)*x=(714.44/696.44)*x       - we multiply both sides of the equation by x
100=1.0258457297111*x       - we divide both sides of the equation by (1.0258457297111) to get x
100/1.0258457297111=x
97.480544202452=x
x=97.480544202452

now we have:
696.44 is 97.480544202452% of 714.44