75.12 is what percent of 492.68 - 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 492.68 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 492.68, so we can write it down as 100%=492.68.
4. We know, that x% equals 75.12 of the output value, so we can write it down as x%=75.12.
5. Now we have two simple equations:
1) 100%=492.68
2) x%=75.12
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%=492.68/75.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.12 is what percent of 492.68

100%/x%=492.68/75.12
(100/x)*x=(492.68/75.12)*x       - we multiply both sides of the equation by x
100=6.5585729499468*x       - we divide both sides of the equation by (6.5585729499468) to get x
100/6.5585729499468=x
15.247219290412=x
x=15.247219290412

now we have:
75.12 is 15.247219290412% of 492.68