33.99 is what percent of 79.99 - 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 79.99 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 79.99, so we can write it down as 100%=79.99.
4. We know, that x% equals 33.99 of the output value, so we can write it down as x%=33.99.
5. Now we have two simple equations:
1) 100%=79.99
2) x%=33.99
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%=79.99/33.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.99 is what percent of 79.99

100%/x%=79.99/33.99
(100/x)*x=(79.99/33.99)*x       - we multiply both sides of the equation by x
100=2.3533392174169*x       - we divide both sides of the equation by (2.3533392174169) to get x
100/2.3533392174169=x
42.49281160145=x
x=42.49281160145

now we have:
33.99 is 42.49281160145% of 79.99