720.33 is what percent of 1366.87 - 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 1366.87 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 1366.87, so we can write it down as 100%=1366.87.
4. We know, that x% equals 720.33 of the output value, so we can write it down as x%=720.33.
5. Now we have two simple equations:
1) 100%=1366.87
2) x%=720.33
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%=1366.87/720.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 720.33 is what percent of 1366.87

100%/x%=1366.87/720.33
(100/x)*x=(1366.87/720.33)*x       - we multiply both sides of the equation by x
100=1.8975608401705*x       - we divide both sides of the equation by (1.8975608401705) to get x
100/1.8975608401705=x
52.699232553206=x
x=52.699232553206

now we have:
720.33 is 52.699232553206% of 1366.87