4.97 is what percent of 32.98 - 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 32.98 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 32.98, so we can write it down as 100%=32.98.
4. We know, that x% equals 4.97 of the output value, so we can write it down as x%=4.97.
5. Now we have two simple equations:
1) 100%=32.98
2) x%=4.97
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%=32.98/4.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.97 is what percent of 32.98

100%/x%=32.98/4.97
(100/x)*x=(32.98/4.97)*x       - we multiply both sides of the equation by x
100=6.635814889336*x       - we divide both sides of the equation by (6.635814889336) to get x
100/6.635814889336=x
15.069739235901=x
x=15.069739235901

now we have:
4.97 is 15.069739235901% of 32.98