0.67 is what percent of 29.5 - 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 29.5 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 29.5, so we can write it down as 100%=29.5.
4. We know, that x% equals 0.67 of the output value, so we can write it down as x%=0.67.
5. Now we have two simple equations:
1) 100%=29.5
2) x%=0.67
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%=29.5/0.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.67 is what percent of 29.5

100%/x%=29.5/0.67
(100/x)*x=(29.5/0.67)*x       - we multiply both sides of the equation by x
100=44.029850746269*x       - we divide both sides of the equation by (44.029850746269) to get x
100/44.029850746269=x
2.271186440678=x
x=2.271186440678

now we have:
0.67 is 2.271186440678% of 29.5