121.3 is what percent of 133 - 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 133 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 133, so we can write it down as 100%=133.
4. We know, that x% equals 121.3 of the output value, so we can write it down as x%=121.3.
5. Now we have two simple equations:
1) 100%=133
2) x%=121.3
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%=133/121.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 121.3 is what percent of 133

100%/x%=133/121.3
(100/x)*x=(133/121.3)*x       - we multiply both sides of the equation by x
100=1.0964550700742*x       - we divide both sides of the equation by (1.0964550700742) to get x
100/1.0964550700742=x
91.203007518797=x
x=91.203007518797

now we have:
121.3 is 91.203007518797% of 133