87.43 is what percent of 159.7 - 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 159.7 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 159.7, so we can write it down as 100%=159.7.
4. We know, that x% equals 87.43 of the output value, so we can write it down as x%=87.43.
5. Now we have two simple equations:
1) 100%=159.7
2) x%=87.43
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%=159.7/87.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87.43 is what percent of 159.7

100%/x%=159.7/87.43
(100/x)*x=(159.7/87.43)*x       - we multiply both sides of the equation by x
100=1.8266041404552*x       - we divide both sides of the equation by (1.8266041404552) to get x
100/1.8266041404552=x
54.746399499061=x
x=54.746399499061

now we have:
87.43 is 54.746399499061% of 159.7