1245.7 is what percent of 2355.5 - 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 2355.5 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 2355.5, so we can write it down as 100%=2355.5.
4. We know, that x% equals 1245.7 of the output value, so we can write it down as x%=1245.7.
5. Now we have two simple equations:
1) 100%=2355.5
2) x%=1245.7
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%=2355.5/1245.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1245.7 is what percent of 2355.5

100%/x%=2355.5/1245.7
(100/x)*x=(2355.5/1245.7)*x       - we multiply both sides of the equation by x
100=1.89090471221*x       - we divide both sides of the equation by (1.89090471221) to get x
100/1.89090471221=x
52.884737847591=x
x=52.884737847591

now we have:
1245.7 is 52.884737847591% of 2355.5