7.5 is what percent of 37000 - 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 37000 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 37000, so we can write it down as 100%=37000.
4. We know, that x% equals 7.5 of the output value, so we can write it down as x%=7.5.
5. Now we have two simple equations:
1) 100%=37000
2) x%=7.5
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%=37000/7.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.5 is what percent of 37000

100%/x%=37000/7.5
(100/x)*x=(37000/7.5)*x       - we multiply both sides of the equation by x
100=4933.3333333333*x       - we divide both sides of the equation by (4933.3333333333) to get x
100/4933.3333333333=x
0.02027027027027=x
x=0.02027027027027

now we have:
7.5 is 0.02027027027027% of 37000