19.9 is what percent of 1.01 - 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 1.01 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 1.01, so we can write it down as 100%=1.01.
4. We know, that x% equals 19.9 of the output value, so we can write it down as x%=19.9.
5. Now we have two simple equations:
1) 100%=1.01
2) x%=19.9
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%=1.01/19.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.9 is what percent of 1.01

100%/x%=1.01/19.9
(100/x)*x=(1.01/19.9)*x       - we multiply both sides of the equation by x
100=0.050753768844221*x       - we divide both sides of the equation by (0.050753768844221) to get x
100/0.050753768844221=x
1970.297029703=x
x=1970.297029703

now we have:
19.9 is 1970.297029703% of 1.01