924.62 is what percent of 1155.54 - 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 1155.54 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 1155.54, so we can write it down as 100%=1155.54.
4. We know, that x% equals 924.62 of the output value, so we can write it down as x%=924.62.
5. Now we have two simple equations:
1) 100%=1155.54
2) x%=924.62
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%=1155.54/924.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 924.62 is what percent of 1155.54

100%/x%=1155.54/924.62
(100/x)*x=(1155.54/924.62)*x       - we multiply both sides of the equation by x
100=1.2497458415349*x       - we divide both sides of the equation by (1.2497458415349) to get x
100/1.2497458415349=x
80.016269449781=x
x=80.016269449781

now we have:
924.62 is 80.016269449781% of 1155.54