756.9 is what percent of 1365 - 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 1365 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 1365, so we can write it down as 100%=1365.
4. We know, that x% equals 756.9 of the output value, so we can write it down as x%=756.9.
5. Now we have two simple equations:
1) 100%=1365
2) x%=756.9
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%=1365/756.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 756.9 is what percent of 1365

100%/x%=1365/756.9
(100/x)*x=(1365/756.9)*x       - we multiply both sides of the equation by x
100=1.8034086405073*x       - we divide both sides of the equation by (1.8034086405073) to get x
100/1.8034086405073=x
55.450549450549=x
x=55.450549450549

now we have:
756.9 is 55.450549450549% of 1365