1.78 is what percent of 1.89 - 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 1.89 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 1.89, so we can write it down as 100%=1.89.
4. We know, that x% equals 1.78 of the output value, so we can write it down as x%=1.78.
5. Now we have two simple equations:
1) 100%=1.89
2) x%=1.78
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%=1.89/1.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.78 is what percent of 1.89

100%/x%=1.89/1.78
(100/x)*x=(1.89/1.78)*x       - we multiply both sides of the equation by x
100=1.061797752809*x       - we divide both sides of the equation by (1.061797752809) to get x
100/1.061797752809=x
94.179894179894=x
x=94.179894179894

now we have:
1.78 is 94.179894179894% of 1.89