33.73 is what percent of 69.68 - 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 69.68 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 69.68, so we can write it down as 100%=69.68.
4. We know, that x% equals 33.73 of the output value, so we can write it down as x%=33.73.
5. Now we have two simple equations:
1) 100%=69.68
2) x%=33.73
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%=69.68/33.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.73 is what percent of 69.68

100%/x%=69.68/33.73
(100/x)*x=(69.68/33.73)*x       - we multiply both sides of the equation by x
100=2.0658167803143*x       - we divide both sides of the equation by (2.0658167803143) to get x
100/2.0658167803143=x
48.407003444317=x
x=48.407003444317

now we have:
33.73 is 48.407003444317% of 69.68