97.62 is what percent of 17.67 - 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 17.67 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 17.67, so we can write it down as 100%=17.67.
4. We know, that x% equals 97.62 of the output value, so we can write it down as x%=97.62.
5. Now we have two simple equations:
1) 100%=17.67
2) x%=97.62
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%=17.67/97.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.62 is what percent of 17.67

100%/x%=17.67/97.62
(100/x)*x=(17.67/97.62)*x       - we multiply both sides of the equation by x
100=0.181007990166*x       - we divide both sides of the equation by (0.181007990166) to get x
100/0.181007990166=x
552.46179966=x
x=552.46179966

now we have:
97.62 is 552.46179966% of 17.67