45.62 is what percent of 719.12 - 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 719.12 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 719.12, so we can write it down as 100%=719.12.
4. We know, that x% equals 45.62 of the output value, so we can write it down as x%=45.62.
5. Now we have two simple equations:
1) 100%=719.12
2) x%=45.62
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%=719.12/45.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.62 is what percent of 719.12

100%/x%=719.12/45.62
(100/x)*x=(719.12/45.62)*x       - we multiply both sides of the equation by x
100=15.763261727313*x       - we divide both sides of the equation by (15.763261727313) to get x
100/15.763261727313=x
6.343864723551=x
x=6.343864723551

now we have:
45.62 is 6.343864723551% of 719.12