1002.75 is what percent of 1149.99 - 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 1149.99 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 1149.99, so we can write it down as 100%=1149.99.
4. We know, that x% equals 1002.75 of the output value, so we can write it down as x%=1002.75.
5. Now we have two simple equations:
1) 100%=1149.99
2) x%=1002.75
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%=1149.99/1002.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1002.75 is what percent of 1149.99

100%/x%=1149.99/1002.75
(100/x)*x=(1149.99/1002.75)*x       - we multiply both sides of the equation by x
100=1.1468362004488*x       - we divide both sides of the equation by (1.1468362004488) to get x
100/1.1468362004488=x
87.196410403569=x
x=87.196410403569

now we have:
1002.75 is 87.196410403569% of 1149.99