26.64 is what percent of 74.42 - 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 74.42 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 74.42, so we can write it down as 100%=74.42.
4. We know, that x% equals 26.64 of the output value, so we can write it down as x%=26.64.
5. Now we have two simple equations:
1) 100%=74.42
2) x%=26.64
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%=74.42/26.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.64 is what percent of 74.42

100%/x%=74.42/26.64
(100/x)*x=(74.42/26.64)*x       - we multiply both sides of the equation by x
100=2.7935435435435*x       - we divide both sides of the equation by (2.7935435435435) to get x
100/2.7935435435435=x
35.79682880946=x
x=35.79682880946

now we have:
26.64 is 35.79682880946% of 74.42