4.95 is what percent of 32.95 - 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 32.95 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 32.95, so we can write it down as 100%=32.95.
4. We know, that x% equals 4.95 of the output value, so we can write it down as x%=4.95.
5. Now we have two simple equations:
1) 100%=32.95
2) x%=4.95
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%=32.95/4.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.95 is what percent of 32.95

100%/x%=32.95/4.95
(100/x)*x=(32.95/4.95)*x       - we multiply both sides of the equation by x
100=6.6565656565657*x       - we divide both sides of the equation by (6.6565656565657) to get x
100/6.6565656565657=x
15.022761760243=x
x=15.022761760243

now we have:
4.95 is 15.022761760243% of 32.95