31.34 is what percent of 7 - 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 7 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 7, so we can write it down as 100%=7.
4. We know, that x% equals 31.34 of the output value, so we can write it down as x%=31.34.
5. Now we have two simple equations:
1) 100%=7
2) x%=31.34
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%=7/31.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.34 is what percent of 7

100%/x%=7/31.34
(100/x)*x=(7/31.34)*x       - we multiply both sides of the equation by x
100=0.22335673261008*x       - we divide both sides of the equation by (0.22335673261008) to get x
100/0.22335673261008=x
447.71428571429=x
x=447.71428571429

now we have:
31.34 is 447.71428571429% of 7