1136.96 is what percent of 2.723 - 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 2.723 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 2.723, so we can write it down as 100%=2.723.
4. We know, that x% equals 1136.96 of the output value, so we can write it down as x%=1136.96.
5. Now we have two simple equations:
1) 100%=2.723
2) x%=1136.96
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%=2.723/1136.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1136.96 is what percent of 2.723

100%/x%=2.723/1136.96
(100/x)*x=(2.723/1136.96)*x       - we multiply both sides of the equation by x
100=0.0023949831128624*x       - we divide both sides of the equation by (0.0023949831128624) to get x
100/0.0023949831128624=x
41753.947851634=x
x=41753.947851634

now we have:
1136.96 is 41753.947851634% of 2.723