1.78 is what percent of 89.15 - 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 89.15 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 89.15, so we can write it down as 100%=89.15.
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%=89.15
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%=89.15/1.78
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 89.15

100%/x%=89.15/1.78
(100/x)*x=(89.15/1.78)*x       - we multiply both sides of the equation by x
100=50.084269662921*x       - we divide both sides of the equation by (50.084269662921) to get x
100/50.084269662921=x
1.9966348850252=x
x=1.9966348850252

now we have:
1.78 is 1.9966348850252% of 89.15