746.81 is what percent of 477.5 - 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 477.5 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 477.5, so we can write it down as 100%=477.5.
4. We know, that x% equals 746.81 of the output value, so we can write it down as x%=746.81.
5. Now we have two simple equations:
1) 100%=477.5
2) x%=746.81
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%=477.5/746.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 746.81 is what percent of 477.5

100%/x%=477.5/746.81
(100/x)*x=(477.5/746.81)*x       - we multiply both sides of the equation by x
100=0.63938618925831*x       - we divide both sides of the equation by (0.63938618925831) to get x
100/0.63938618925831=x
156.4=x
x=156.4

now we have:
746.81 is 156.4% of 477.5