3.38 is what percent of 675 - 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 675 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 675, so we can write it down as 100%=675.
4. We know, that x% equals 3.38 of the output value, so we can write it down as x%=3.38.
5. Now we have two simple equations:
1) 100%=675
2) x%=3.38
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%=675/3.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.38 is what percent of 675

100%/x%=675/3.38
(100/x)*x=(675/3.38)*x       - we multiply both sides of the equation by x
100=199.70414201183*x       - we divide both sides of the equation by (199.70414201183) to get x
100/199.70414201183=x
0.50074074074074=x
x=0.50074074074074

now we have:
3.38 is 0.50074074074074% of 675