90 is what percent of 196 - 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 196 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 196, so we can write it down as 100%=196.
4. We know, that x% equals 90 of the output value, so we can write it down as x%=90.
5. Now we have two simple equations:
1) 100%=196
2) x%=90
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%=196/90
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90 is what percent of 196

100%/x%=196/90
(100/x)*x=(196/90)*x       - we multiply both sides of the equation by x
100=2.1777777777778*x       - we divide both sides of the equation by (2.1777777777778) to get x
100/2.1777777777778=x
45.918367346939=x
x=45.918367346939

now we have:
90 is 45.918367346939% of 196