468.97 is what percent of 749.99 - 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 749.99 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 749.99, so we can write it down as 100%=749.99.
4. We know, that x% equals 468.97 of the output value, so we can write it down as x%=468.97.
5. Now we have two simple equations:
1) 100%=749.99
2) x%=468.97
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%=749.99/468.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 468.97 is what percent of 749.99

100%/x%=749.99/468.97
(100/x)*x=(749.99/468.97)*x       - we multiply both sides of the equation by x
100=1.5992280956138*x       - we divide both sides of the equation by (1.5992280956138) to get x
100/1.5992280956138=x
62.530167068894=x
x=62.530167068894

now we have:
468.97 is 62.530167068894% of 749.99