75.58 is what percent of 251 - 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 251 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 251, so we can write it down as 100%=251.
4. We know, that x% equals 75.58 of the output value, so we can write it down as x%=75.58.
5. Now we have two simple equations:
1) 100%=251
2) x%=75.58
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%=251/75.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.58 is what percent of 251

100%/x%=251/75.58
(100/x)*x=(251/75.58)*x       - we multiply both sides of the equation by x
100=3.3209843874041*x       - we divide both sides of the equation by (3.3209843874041) to get x
100/3.3209843874041=x
30.111553784861=x
x=30.111553784861

now we have:
75.58 is 30.111553784861% of 251