What is 96.21 percent of 1.67 - 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 1.67 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 1.67 is 100%, so we can write it down as 1.67=100%.
4. We know, that x is 96.21% of the output value, so we can write it down as x=96.21%.
5. Now we have two simple equations:
1) 1.67=100%
2) x=96.21%
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:
1.67/x=100%/96.21%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 96.21% of 1.67

1.67/x=100/96.21
(1.67/x)*x=(100/96.21)*x       - we multiply both sides of the equation by x
1.67=1.0393929944912*x       - we divide both sides of the equation by (1.0393929944912) to get x
1.67/1.0393929944912=x
1.606707=x
x=1.606707

now we have:
96.21% of 1.67=1.606707