1.55 is what percent of 6.7 - 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 6.7 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 6.7, so we can write it down as 100%=6.7.
4. We know, that x% equals 1.55 of the output value, so we can write it down as x%=1.55.
5. Now we have two simple equations:
1) 100%=6.7
2) x%=1.55
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%=6.7/1.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.55 is what percent of 6.7

100%/x%=6.7/1.55
(100/x)*x=(6.7/1.55)*x       - we multiply both sides of the equation by x
100=4.3225806451613*x       - we divide both sides of the equation by (4.3225806451613) to get x
100/4.3225806451613=x
23.134328358209=x
x=23.134328358209

now we have:
1.55 is 23.134328358209% of 6.7