1.65 is what percent of 10.98 - 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 10.98 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 10.98, so we can write it down as 100%=10.98.
4. We know, that x% equals 1.65 of the output value, so we can write it down as x%=1.65.
5. Now we have two simple equations:
1) 100%=10.98
2) x%=1.65
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%=10.98/1.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.65 is what percent of 10.98

100%/x%=10.98/1.65
(100/x)*x=(10.98/1.65)*x       - we multiply both sides of the equation by x
100=6.6545454545455*x       - we divide both sides of the equation by (6.6545454545455) to get x
100/6.6545454545455=x
15.027322404372=x
x=15.027322404372

now we have:
1.65 is 15.027322404372% of 10.98