1363.33 is what percent of 1864.55 - 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 1864.55 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 1864.55, so we can write it down as 100%=1864.55.
4. We know, that x% equals 1363.33 of the output value, so we can write it down as x%=1363.33.
5. Now we have two simple equations:
1) 100%=1864.55
2) x%=1363.33
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%=1864.55/1363.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1363.33 is what percent of 1864.55

100%/x%=1864.55/1363.33
(100/x)*x=(1864.55/1363.33)*x       - we multiply both sides of the equation by x
100=1.3676439306698*x       - we divide both sides of the equation by (1.3676439306698) to get x
100/1.3676439306698=x
73.118446810222=x
x=73.118446810222

now we have:
1363.33 is 73.118446810222% of 1864.55