313.4 is what percent of 696.3 - 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 696.3 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 696.3, so we can write it down as 100%=696.3.
4. We know, that x% equals 313.4 of the output value, so we can write it down as x%=313.4.
5. Now we have two simple equations:
1) 100%=696.3
2) x%=313.4
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%=696.3/313.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 313.4 is what percent of 696.3

100%/x%=696.3/313.4
(100/x)*x=(696.3/313.4)*x       - we multiply both sides of the equation by x
100=2.2217613273772*x       - we divide both sides of the equation by (2.2217613273772) to get x
100/2.2217613273772=x
45.009335056728=x
x=45.009335056728

now we have:
313.4 is 45.009335056728% of 696.3