1.95 is what percent of 1000.13 - 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 1000.13 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 1000.13, so we can write it down as 100%=1000.13.
4. We know, that x% equals 1.95 of the output value, so we can write it down as x%=1.95.
5. Now we have two simple equations:
1) 100%=1000.13
2) x%=1.95
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%=1000.13/1.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.95 is what percent of 1000.13

100%/x%=1000.13/1.95
(100/x)*x=(1000.13/1.95)*x       - we multiply both sides of the equation by x
100=512.88717948718*x       - we divide both sides of the equation by (512.88717948718) to get x
100/512.88717948718=x
0.19497465329507=x
x=0.19497465329507

now we have:
1.95 is 0.19497465329507% of 1000.13