31.08 is what percent of 31.7 - 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 31.7 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 31.7, so we can write it down as 100%=31.7.
4. We know, that x% equals 31.08 of the output value, so we can write it down as x%=31.08.
5. Now we have two simple equations:
1) 100%=31.7
2) x%=31.08
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%=31.7/31.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.08 is what percent of 31.7

100%/x%=31.7/31.08
(100/x)*x=(31.7/31.08)*x       - we multiply both sides of the equation by x
100=1.0199485199485*x       - we divide both sides of the equation by (1.0199485199485) to get x
100/1.0199485199485=x
98.044164037855=x
x=98.044164037855

now we have:
31.08 is 98.044164037855% of 31.7