75.45 is what percent of 1508.97 - 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 1508.97 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 1508.97, so we can write it down as 100%=1508.97.
4. We know, that x% equals 75.45 of the output value, so we can write it down as x%=75.45.
5. Now we have two simple equations:
1) 100%=1508.97
2) x%=75.45
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%=1508.97/75.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.45 is what percent of 1508.97

100%/x%=1508.97/75.45
(100/x)*x=(1508.97/75.45)*x       - we multiply both sides of the equation by x
100=19.999602385686*x       - we divide both sides of the equation by (19.999602385686) to get x
100/19.999602385686=x
5.0000994055548=x
x=5.0000994055548

now we have:
75.45 is 5.0000994055548% of 1508.97