1.85 is what percent of 5.65 - 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 5.65 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 5.65, so we can write it down as 100%=5.65.
4. We know, that x% equals 1.85 of the output value, so we can write it down as x%=1.85.
5. Now we have two simple equations:
1) 100%=5.65
2) x%=1.85
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%=5.65/1.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.85 is what percent of 5.65

100%/x%=5.65/1.85
(100/x)*x=(5.65/1.85)*x       - we multiply both sides of the equation by x
100=3.0540540540541*x       - we divide both sides of the equation by (3.0540540540541) to get x
100/3.0540540540541=x
32.743362831858=x
x=32.743362831858

now we have:
1.85 is 32.743362831858% of 5.65