37.69 is what percent of 1675 - 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 1675 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 1675, so we can write it down as 100%=1675.
4. We know, that x% equals 37.69 of the output value, so we can write it down as x%=37.69.
5. Now we have two simple equations:
1) 100%=1675
2) x%=37.69
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%=1675/37.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.69 is what percent of 1675

100%/x%=1675/37.69
(100/x)*x=(1675/37.69)*x       - we multiply both sides of the equation by x
100=44.441496418148*x       - we divide both sides of the equation by (44.441496418148) to get x
100/44.441496418148=x
2.2501492537313=x
x=2.2501492537313

now we have:
37.69 is 2.2501492537313% of 1675