75.75 is what percent of 491.98 - 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 491.98 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 491.98, so we can write it down as 100%=491.98.
4. We know, that x% equals 75.75 of the output value, so we can write it down as x%=75.75.
5. Now we have two simple equations:
1) 100%=491.98
2) x%=75.75
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%=491.98/75.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.75 is what percent of 491.98

100%/x%=491.98/75.75
(100/x)*x=(491.98/75.75)*x       - we multiply both sides of the equation by x
100=6.4947854785479*x       - we divide both sides of the equation by (6.4947854785479) to get x
100/6.4947854785479=x
15.396967356397=x
x=15.396967356397

now we have:
75.75 is 15.396967356397% of 491.98