3.18 is what percent of 7.625 - 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 7.625 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 7.625, so we can write it down as 100%=7.625.
4. We know, that x% equals 3.18 of the output value, so we can write it down as x%=3.18.
5. Now we have two simple equations:
1) 100%=7.625
2) x%=3.18
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%=7.625/3.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.18 is what percent of 7.625

100%/x%=7.625/3.18
(100/x)*x=(7.625/3.18)*x       - we multiply both sides of the equation by x
100=2.3977987421384*x       - we divide both sides of the equation by (2.3977987421384) to get x
100/2.3977987421384=x
41.704918032787=x
x=41.704918032787

now we have:
3.18 is 41.704918032787% of 7.625