1.67 is what percent of 37.54 - 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 37.54 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 37.54, so we can write it down as 100%=37.54.
4. We know, that x% equals 1.67 of the output value, so we can write it down as x%=1.67.
5. Now we have two simple equations:
1) 100%=37.54
2) x%=1.67
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%=37.54/1.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.67 is what percent of 37.54

100%/x%=37.54/1.67
(100/x)*x=(37.54/1.67)*x       - we multiply both sides of the equation by x
100=22.479041916168*x       - we divide both sides of the equation by (22.479041916168) to get x
100/22.479041916168=x
4.4485881726159=x
x=4.4485881726159

now we have:
1.67 is 4.4485881726159% of 37.54