26724.64 is what percent of 75429.68 - 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 75429.68 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 75429.68, so we can write it down as 100%=75429.68.
4. We know, that x% equals 26724.64 of the output value, so we can write it down as x%=26724.64.
5. Now we have two simple equations:
1) 100%=75429.68
2) x%=26724.64
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%=75429.68/26724.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26724.64 is what percent of 75429.68

100%/x%=75429.68/26724.64
(100/x)*x=(75429.68/26724.64)*x       - we multiply both sides of the equation by x
100=2.822476935143*x       - we divide both sides of the equation by (2.822476935143) to get x
100/2.822476935143=x
35.429873227621=x
x=35.429873227621

now we have:
26724.64 is 35.429873227621% of 75429.68