723.75 is what percent of 1164.38 - 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 1164.38 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 1164.38, so we can write it down as 100%=1164.38.
4. We know, that x% equals 723.75 of the output value, so we can write it down as x%=723.75.
5. Now we have two simple equations:
1) 100%=1164.38
2) x%=723.75
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%=1164.38/723.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 723.75 is what percent of 1164.38

100%/x%=1164.38/723.75
(100/x)*x=(1164.38/723.75)*x       - we multiply both sides of the equation by x
100=1.6088151986183*x       - we divide both sides of the equation by (1.6088151986183) to get x
100/1.6088151986183=x
62.157543070132=x
x=62.157543070132

now we have:
723.75 is 62.157543070132% of 1164.38