957.5 is what percent of 1090 - 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 1090 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 1090, so we can write it down as 100%=1090.
4. We know, that x% equals 957.5 of the output value, so we can write it down as x%=957.5.
5. Now we have two simple equations:
1) 100%=1090
2) x%=957.5
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%=1090/957.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 957.5 is what percent of 1090

100%/x%=1090/957.5
(100/x)*x=(1090/957.5)*x       - we multiply both sides of the equation by x
100=1.1383812010444*x       - we divide both sides of the equation by (1.1383812010444) to get x
100/1.1383812010444=x
87.844036697248=x
x=87.844036697248

now we have:
957.5 is 87.844036697248% of 1090