10.02 is what percent of 296.98 - 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 296.98 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 296.98, so we can write it down as 100%=296.98.
4. We know, that x% equals 10.02 of the output value, so we can write it down as x%=10.02.
5. Now we have two simple equations:
1) 100%=296.98
2) x%=10.02
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%=296.98/10.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.02 is what percent of 296.98

100%/x%=296.98/10.02
(100/x)*x=(296.98/10.02)*x       - we multiply both sides of the equation by x
100=29.63872255489*x       - we divide both sides of the equation by (29.63872255489) to get x
100/29.63872255489=x
3.3739645767392=x
x=3.3739645767392

now we have:
10.02 is 3.3739645767392% of 296.98