32.99 is what percent of 9.7 - 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 9.7 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 9.7, so we can write it down as 100%=9.7.
4. We know, that x% equals 32.99 of the output value, so we can write it down as x%=32.99.
5. Now we have two simple equations:
1) 100%=9.7
2) x%=32.99
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%=9.7/32.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.99 is what percent of 9.7

100%/x%=9.7/32.99
(100/x)*x=(9.7/32.99)*x       - we multiply both sides of the equation by x
100=0.29402849348287*x       - we divide both sides of the equation by (0.29402849348287) to get x
100/0.29402849348287=x
340.10309278351=x
x=340.10309278351

now we have:
32.99 is 340.10309278351% of 9.7