45 is what percent of 7381 - 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 7381 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 7381, so we can write it down as 100%=7381.
4. We know, that x% equals 45 of the output value, so we can write it down as x%=45.
5. Now we have two simple equations:
1) 100%=7381
2) x%=45
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%=7381/45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45 is what percent of 7381

100%/x%=7381/45
(100/x)*x=(7381/45)*x       - we multiply both sides of the equation by x
100=164.02222222222*x       - we divide both sides of the equation by (164.02222222222) to get x
100/164.02222222222=x
0.60967348597751=x
x=0.60967348597751

now we have:
45 is 0.60967348597751% of 7381