What is 333.3333333333 percent of 1.97 - 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 1.97 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 1.97 is 100%, so we can write it down as 1.97=100%.
4. We know, that x is 333.3333333333% of the output value, so we can write it down as x=333.3333333333%.
5. Now we have two simple equations:
1) 1.97=100%
2) x=333.3333333333%
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:
1.97/x=100%/333.3333333333%
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 333.3333333333% of 1.97

1.97/x=100/333.3333333333
(1.97/x)*x=(100/333.3333333333)*x       - we multiply both sides of the equation by x
1.97=0.30000000000003*x       - we divide both sides of the equation by (0.30000000000003) to get x
1.97/0.30000000000003=x
6.566666666666=x
x=6.566666666666

now we have:
333.3333333333% of 1.97=6.566666666666