1.56 is what percent of 3.34 - 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 3.34 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 3.34, so we can write it down as 100%=3.34.
4. We know, that x% equals 1.56 of the output value, so we can write it down as x%=1.56.
5. Now we have two simple equations:
1) 100%=3.34
2) x%=1.56
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%=3.34/1.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.56 is what percent of 3.34

100%/x%=3.34/1.56
(100/x)*x=(3.34/1.56)*x       - we multiply both sides of the equation by x
100=2.1410256410256*x       - we divide both sides of the equation by (2.1410256410256) to get x
100/2.1410256410256=x
46.706586826347=x
x=46.706586826347

now we have:
1.56 is 46.706586826347% of 3.34