1045.75 is what percent of 1174.5 - 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 1174.5 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 1174.5, so we can write it down as 100%=1174.5.
4. We know, that x% equals 1045.75 of the output value, so we can write it down as x%=1045.75.
5. Now we have two simple equations:
1) 100%=1174.5
2) x%=1045.75
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%=1174.5/1045.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1045.75 is what percent of 1174.5

100%/x%=1174.5/1045.75
(100/x)*x=(1174.5/1045.75)*x       - we multiply both sides of the equation by x
100=1.1231173798709*x       - we divide both sides of the equation by (1.1231173798709) to get x
100/1.1231173798709=x
89.037888463176=x
x=89.037888463176

now we have:
1045.75 is 89.037888463176% of 1174.5