145.51 is what percent of 157.76 - 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 157.76 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 157.76, so we can write it down as 100%=157.76.
4. We know, that x% equals 145.51 of the output value, so we can write it down as x%=145.51.
5. Now we have two simple equations:
1) 100%=157.76
2) x%=145.51
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%=157.76/145.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 145.51 is what percent of 157.76

100%/x%=157.76/145.51
(100/x)*x=(157.76/145.51)*x       - we multiply both sides of the equation by x
100=1.0841866538382*x       - we divide both sides of the equation by (1.0841866538382) to get x
100/1.0841866538382=x
92.235040567951=x
x=92.235040567951

now we have:
145.51 is 92.235040567951% of 157.76