10.97 is what percent of 1.635 - 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 1.635 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 1.635, so we can write it down as 100%=1.635.
4. We know, that x% equals 10.97 of the output value, so we can write it down as x%=10.97.
5. Now we have two simple equations:
1) 100%=1.635
2) x%=10.97
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%=1.635/10.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.97 is what percent of 1.635

100%/x%=1.635/10.97
(100/x)*x=(1.635/10.97)*x       - we multiply both sides of the equation by x
100=0.14904284412033*x       - we divide both sides of the equation by (0.14904284412033) to get x
100/0.14904284412033=x
670.94801223242=x
x=670.94801223242

now we have:
10.97 is 670.94801223242% of 1.635