1.35 is what percent of 189.13 - 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 189.13 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 189.13, so we can write it down as 100%=189.13.
4. We know, that x% equals 1.35 of the output value, so we can write it down as x%=1.35.
5. Now we have two simple equations:
1) 100%=189.13
2) x%=1.35
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%=189.13/1.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.35 is what percent of 189.13

100%/x%=189.13/1.35
(100/x)*x=(189.13/1.35)*x       - we multiply both sides of the equation by x
100=140.0962962963*x       - we divide both sides of the equation by (140.0962962963) to get x
100/140.0962962963=x
0.71379474435573=x
x=0.71379474435573

now we have:
1.35 is 0.71379474435573% of 189.13