917.5 is what percent of 1140 - 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 1140 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 1140, so we can write it down as 100%=1140.
4. We know, that x% equals 917.5 of the output value, so we can write it down as x%=917.5.
5. Now we have two simple equations:
1) 100%=1140
2) x%=917.5
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%=1140/917.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 917.5 is what percent of 1140

100%/x%=1140/917.5
(100/x)*x=(1140/917.5)*x       - we multiply both sides of the equation by x
100=1.2425068119891*x       - we divide both sides of the equation by (1.2425068119891) to get x
100/1.2425068119891=x
80.482456140351=x
x=80.482456140351

now we have:
917.5 is 80.482456140351% of 1140